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Finding the Fourth Proportional to 632,175.53, 872,482.13 and 414,567.28

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Solution

The fourth proportional to 632,175.53, 872,482.13 and 414,567.28 is: 572,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,175.53 : 872,482.13 = 414,567.28 : x
  2. Step 2: Convert to fraction form
    632,175.53/872,482.13 = 414,567.28/x
  3. Step 3: Cross multiply
    632,175.53x = 872,482.13 × 414,567.28
  4. Step 4: Simplify right side
    632,175.53x = 361,702,541,641.88
  5. Step 5: Solve for x
    x = 361,702,541,641.88/632,175.53
  6. Step 6: Final answer
    x = 572,155.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.