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Finding the Fourth Proportional to 462,095.40, 693,143.10 and 407,857.80

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Solution

The fourth proportional to 462,095.40, 693,143.10 and 407,857.80 is: 611,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,095.40 : 693,143.10 = 407,857.80 : x
  2. Step 2: Convert to fraction form
    462,095.40/693,143.10 = 407,857.80/x
  3. Step 3: Cross multiply
    462,095.40x = 693,143.10 × 407,857.80
  4. Step 4: Simplify right side
    462,095.40x = 282,703,819,851.18
  5. Step 5: Solve for x
    x = 282,703,819,851.18/462,095.40
  6. Step 6: Final answer
    x = 611,786.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.