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Finding the Fourth Proportional to 686,914.83, 948,411.63 and 429,184.17

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Solution

The fourth proportional to 686,914.83, 948,411.63 and 429,184.17 is: 592,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,914.83 : 948,411.63 = 429,184.17 : x
  2. Step 2: Convert to fraction form
    686,914.83/948,411.63 = 429,184.17/x
  3. Step 3: Cross multiply
    686,914.83x = 948,411.63 × 429,184.17
  4. Step 4: Simplify right side
    686,914.83x = 407,043,258,239.90
  5. Step 5: Solve for x
    x = 407,043,258,239.90/686,914.83
  6. Step 6: Final answer
    x = 592,567.29

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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.