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Finding the Fourth Proportional to 334,587.20, 501,880.80 and 319,035.20

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Solution

The fourth proportional to 334,587.20, 501,880.80 and 319,035.20 is: 478,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,587.20 : 501,880.80 = 319,035.20 : x
  2. Step 2: Convert to fraction form
    334,587.20/501,880.80 = 319,035.20/x
  3. Step 3: Cross multiply
    334,587.20x = 501,880.80 × 319,035.20
  4. Step 4: Simplify right side
    334,587.20x = 160,117,641,404.16
  5. Step 5: Solve for x
    x = 160,117,641,404.16/334,587.20
  6. Step 6: Final answer
    x = 478,552.80

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Why These Related Problems?

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