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Finding the Fourth Proportional to 319,225.60, 478,838.32 and 82,592.16

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Solution

The fourth proportional to 319,225.60, 478,838.32 and 82,592.16 is: 123,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,225.60 : 478,838.32 = 82,592.16 : x
  2. Step 2: Convert to fraction form
    319,225.60/478,838.32 = 82,592.16/x
  3. Step 3: Cross multiply
    319,225.60x = 478,838.32 × 82,592.16
  4. Step 4: Simplify right side
    319,225.60x = 39,548,291,139.57
  5. Step 5: Solve for x
    x = 39,548,291,139.57/319,225.60
  6. Step 6: Final answer
    x = 123,888.22

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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.