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Finding the Fourth Proportional to 687,259.32, 948,374.63 and 415,166.14

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Solution

The fourth proportional to 687,259.32, 948,374.63 and 415,166.14 is: 572,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,259.32 : 948,374.63 = 415,166.14 : x
  2. Step 2: Convert to fraction form
    687,259.32/948,374.63 = 415,166.14/x
  3. Step 3: Cross multiply
    687,259.32x = 948,374.63 × 415,166.14
  4. Step 4: Simplify right side
    687,259.32x = 393,733,032,335.20
  5. Step 5: Solve for x
    x = 393,733,032,335.20/687,259.32
  6. Step 6: Final answer
    x = 572,903.16

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