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Finding the Fourth Proportional to 478,049.40, 717,074.10 and 415,841.40

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Solution

The fourth proportional to 478,049.40, 717,074.10 and 415,841.40 is: 623,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,049.40 : 717,074.10 = 415,841.40 : x
  2. Step 2: Convert to fraction form
    478,049.40/717,074.10 = 415,841.40/x
  3. Step 3: Cross multiply
    478,049.40x = 717,074.10 × 415,841.40
  4. Step 4: Simplify right side
    478,049.40x = 298,189,097,647.74
  5. Step 5: Solve for x
    x = 298,189,097,647.74/478,049.40
  6. Step 6: Final answer
    x = 623,762.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.