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Finding the Fourth Proportional to 514,959.88, 710,605.54 and 288,561.64

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Solution

The fourth proportional to 514,959.88, 710,605.54 and 288,561.64 is: 398,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,959.88 : 710,605.54 = 288,561.64 : x
  2. Step 2: Convert to fraction form
    514,959.88/710,605.54 = 288,561.64/x
  3. Step 3: Cross multiply
    514,959.88x = 710,605.54 × 288,561.64
  4. Step 4: Simplify right side
    514,959.88x = 205,053,500,015.49
  5. Step 5: Solve for x
    x = 205,053,500,015.49/514,959.88
  6. Step 6: Final answer
    x = 398,193.16

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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.