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Finding the Fourth Proportional to 518,070.62, 714,740.94 and 314,047.14

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Solution

The fourth proportional to 518,070.62, 714,740.94 and 314,047.14 is: 433,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,070.62 : 714,740.94 = 314,047.14 : x
  2. Step 2: Convert to fraction form
    518,070.62/714,740.94 = 314,047.14/x
  3. Step 3: Cross multiply
    518,070.62x = 714,740.94 × 314,047.14
  4. Step 4: Simplify right side
    518,070.62x = 224,462,348,047.91
  5. Step 5: Solve for x
    x = 224,462,348,047.91/518,070.62
  6. Step 6: Final answer
    x = 433,265.93

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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.