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Finding the Fourth Proportional to 319,032.40, 478,549.32 and 299,546.32

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Solution

The fourth proportional to 319,032.40, 478,549.32 and 299,546.32 is: 449,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,032.40 : 478,549.32 = 299,546.32 : x
  2. Step 2: Convert to fraction form
    319,032.40/478,549.32 = 299,546.32/x
  3. Step 3: Cross multiply
    319,032.40x = 478,549.32 × 299,546.32
  4. Step 4: Simplify right side
    319,032.40x = 143,347,687,744.50
  5. Step 5: Solve for x
    x = 143,347,687,744.50/319,032.40
  6. Step 6: Final answer
    x = 449,320.16

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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.