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Finding the Fourth Proportional to 512,957.83, 707,918.45 and 283,510.18

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Solution

The fourth proportional to 512,957.83, 707,918.45 and 283,510.18 is: 391,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,957.83 : 707,918.45 = 283,510.18 : x
  2. Step 2: Convert to fraction form
    512,957.83/707,918.45 = 283,510.18/x
  3. Step 3: Cross multiply
    512,957.83x = 707,918.45 × 283,510.18
  4. Step 4: Simplify right side
    512,957.83x = 200,702,087,184.82
  5. Step 5: Solve for x
    x = 200,702,087,184.82/512,957.83
  6. Step 6: Final answer
    x = 391,264.30

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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.