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Finding the Fourth Proportional to 473,423.40, 710,135.10 and 296,276.40

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Solution

The fourth proportional to 473,423.40, 710,135.10 and 296,276.40 is: 444,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,423.40 : 710,135.10 = 296,276.40 : x
  2. Step 2: Convert to fraction form
    473,423.40/710,135.10 = 296,276.40/x
  3. Step 3: Cross multiply
    473,423.40x = 710,135.10 × 296,276.40
  4. Step 4: Simplify right side
    473,423.40x = 210,396,270,941.64
  5. Step 5: Solve for x
    x = 210,396,270,941.64/473,423.40
  6. Step 6: Final answer
    x = 444,414.60

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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.