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Finding the Fourth Proportional to 523,052.60, 719,547.34 and 458,229.88

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Solution

The fourth proportional to 523,052.60, 719,547.34 and 458,229.88 is: 630,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,052.60 : 719,547.34 = 458,229.88 : x
  2. Step 2: Convert to fraction form
    523,052.60/719,547.34 = 458,229.88/x
  3. Step 3: Cross multiply
    523,052.60x = 719,547.34 × 458,229.88
  4. Step 4: Simplify right side
    523,052.60x = 329,718,091,262.52
  5. Step 5: Solve for x
    x = 329,718,091,262.52/523,052.60
  6. Step 6: Final answer
    x = 630,372.72

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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.