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Finding the Fourth Proportional to 513,488.61, 708,552.54 and 295,768.10

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Solution

The fourth proportional to 513,488.61, 708,552.54 and 295,768.10 is: 408,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,488.61 : 708,552.54 = 295,768.10 : x
  2. Step 2: Convert to fraction form
    513,488.61/708,552.54 = 295,768.10/x
  3. Step 3: Cross multiply
    513,488.61x = 708,552.54 × 295,768.10
  4. Step 4: Simplify right side
    513,488.61x = 209,567,238,729.41
  5. Step 5: Solve for x
    x = 209,567,238,729.41/513,488.61
  6. Step 6: Final answer
    x = 408,124.41

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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.