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Finding the Fourth Proportional to 462,005.60, 693,526.80 and 357,288.80

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Solution

The fourth proportional to 462,005.60, 693,526.80 and 357,288.80 is: 536,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,005.60 : 693,526.80 = 357,288.80 : x
  2. Step 2: Convert to fraction form
    462,005.60/693,526.80 = 357,288.80/x
  3. Step 3: Cross multiply
    462,005.60x = 693,526.80 × 357,288.80
  4. Step 4: Simplify right side
    462,005.60x = 247,789,358,139.84
  5. Step 5: Solve for x
    x = 247,789,358,139.84/462,005.60
  6. Step 6: Final answer
    x = 536,334.10

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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.