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Finding the Fourth Proportional to 523,049.60, 719,543.20 and 458,226.88

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Solution

The fourth proportional to 523,049.60, 719,543.20 and 458,226.88 is: 630,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,049.60 : 719,543.20 = 458,226.88 : x
  2. Step 2: Convert to fraction form
    523,049.60/719,543.20 = 458,226.88/x
  3. Step 3: Cross multiply
    523,049.60x = 719,543.20 × 458,226.88
  4. Step 4: Simplify right side
    523,049.60x = 329,714,035,561.22
  5. Step 5: Solve for x
    x = 329,714,035,561.22/523,049.60
  6. Step 6: Final answer
    x = 630,368.58

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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.