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Finding the Fourth Proportional to 518,702.51, 715,867.40 and 304,024.16

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Solution

The fourth proportional to 518,702.51, 715,867.40 and 304,024.16 is: 419,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,702.51 : 715,867.40 = 304,024.16 : x
  2. Step 2: Convert to fraction form
    518,702.51/715,867.40 = 304,024.16/x
  3. Step 3: Cross multiply
    518,702.51x = 715,867.40 × 304,024.16
  4. Step 4: Simplify right side
    518,702.51x = 217,640,984,956.38
  5. Step 5: Solve for x
    x = 217,640,984,956.38/518,702.51
  6. Step 6: Final answer
    x = 419,587.30

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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.