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Finding the Fourth Proportional to 497,360.80, 746,041.20 and 461,931.40

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Solution

The fourth proportional to 497,360.80, 746,041.20 and 461,931.40 is: 692,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,360.80 : 746,041.20 = 461,931.40 : x
  2. Step 2: Convert to fraction form
    497,360.80/746,041.20 = 461,931.40/x
  3. Step 3: Cross multiply
    497,360.80x = 746,041.20 × 461,931.40
  4. Step 4: Simplify right side
    497,360.80x = 344,619,855,973.68
  5. Step 5: Solve for x
    x = 344,619,855,973.68/497,360.80
  6. Step 6: Final answer
    x = 692,897.10

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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.