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Finding the Fourth Proportional to 703,931.88, 971,420.14 and 398,068.32

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Solution

The fourth proportional to 703,931.88, 971,420.14 and 398,068.32 is: 549,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,931.88 : 971,420.14 = 398,068.32 : x
  2. Step 2: Convert to fraction form
    703,931.88/971,420.14 = 398,068.32/x
  3. Step 3: Cross multiply
    703,931.88x = 971,420.14 × 398,068.32
  4. Step 4: Simplify right side
    703,931.88x = 386,691,587,284.38
  5. Step 5: Solve for x
    x = 386,691,587,284.38/703,931.88
  6. Step 6: Final answer
    x = 549,330.97

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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.