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Finding the Fourth Proportional to 518,075.91, 714,748.14 and 314,052.39

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Solution

The fourth proportional to 518,075.91, 714,748.14 and 314,052.39 is: 433,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,075.91 : 714,748.14 = 314,052.39 : x
  2. Step 2: Convert to fraction form
    518,075.91/714,748.14 = 314,052.39/x
  3. Step 3: Cross multiply
    518,075.91x = 714,748.14 × 314,052.39
  4. Step 4: Simplify right side
    518,075.91x = 224,468,361,615.06
  5. Step 5: Solve for x
    x = 224,468,361,615.06/518,075.91
  6. Step 6: Final answer
    x = 433,273.11

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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.