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Finding the Fourth Proportional to 514,159.03, 709,534.53 and 296,287.66

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Solution

The fourth proportional to 514,159.03, 709,534.53 and 296,287.66 is: 408,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,159.03 : 709,534.53 = 296,287.66 : x
  2. Step 2: Convert to fraction form
    514,159.03/709,534.53 = 296,287.66/x
  3. Step 3: Cross multiply
    514,159.03x = 709,534.53 × 296,287.66
  4. Step 4: Simplify right side
    514,159.03x = 210,226,326,469.82
  5. Step 5: Solve for x
    x = 210,226,326,469.82/514,159.03
  6. Step 6: Final answer
    x = 408,874.13

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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.