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Finding the Fourth Proportional to 616,420.80, 925,322.40 and 476,798.40

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Solution

The fourth proportional to 616,420.80, 925,322.40 and 476,798.40 is: 715,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,420.80 : 925,322.40 = 476,798.40 : x
  2. Step 2: Convert to fraction form
    616,420.80/925,322.40 = 476,798.40/x
  3. Step 3: Cross multiply
    616,420.80x = 925,322.40 × 476,798.40
  4. Step 4: Simplify right side
    616,420.80x = 441,192,239,804.16
  5. Step 5: Solve for x
    x = 441,192,239,804.16/616,420.80
  6. Step 6: Final answer
    x = 715,732.24

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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.