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Finding the Fourth Proportional to 517,435.70, 714,159.79 and 291,081.20

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Solution

The fourth proportional to 517,435.70, 714,159.79 and 291,081.20 is: 401,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,435.70 : 714,159.79 = 291,081.20 : x
  2. Step 2: Convert to fraction form
    517,435.70/714,159.79 = 291,081.20/x
  3. Step 3: Cross multiply
    517,435.70x = 714,159.79 × 291,081.20
  4. Step 4: Simplify right side
    517,435.70x = 207,878,484,366.45
  5. Step 5: Solve for x
    x = 207,878,484,366.45/517,435.70
  6. Step 6: Final answer
    x = 401,747.48

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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.