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Finding the Fourth Proportional to 514,778.58, 710,392.41 and 288,423.54

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Solution

The fourth proportional to 514,778.58, 710,392.41 and 288,423.54 is: 398,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,778.58 : 710,392.41 = 288,423.54 : x
  2. Step 2: Convert to fraction form
    514,778.58/710,392.41 = 288,423.54/x
  3. Step 3: Cross multiply
    514,778.58x = 710,392.41 × 288,423.54
  4. Step 4: Simplify right side
    514,778.58x = 204,893,893,681.33
  5. Step 5: Solve for x
    x = 204,893,893,681.33/514,778.58
  6. Step 6: Final answer
    x = 398,023.35

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1.5x scale

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.