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Finding the Fourth Proportional to 473,595.60, 706,938.60 and 413,807.88

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Solution

The fourth proportional to 473,595.60, 706,938.60 and 413,807.88 is: 617,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,595.60 : 706,938.60 = 413,807.88 : x
  2. Step 2: Convert to fraction form
    473,595.60/706,938.60 = 413,807.88/x
  3. Step 3: Cross multiply
    473,595.60x = 706,938.60 × 413,807.88
  4. Step 4: Simplify right side
    473,595.60x = 292,536,763,356.17
  5. Step 5: Solve for x
    x = 292,536,763,356.17/473,595.60
  6. Step 6: Final answer
    x = 617,693.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.