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Finding the Fourth Proportional to 514,013.11, 709,712.30 and 412,596.46

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Solution

The fourth proportional to 514,013.11, 709,712.30 and 412,596.46 is: 569,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,013.11 : 709,712.30 = 412,596.46 : x
  2. Step 2: Convert to fraction form
    514,013.11/709,712.30 = 412,596.46/x
  3. Step 3: Cross multiply
    514,013.11x = 709,712.30 × 412,596.46
  4. Step 4: Simplify right side
    514,013.11x = 292,824,782,598.46
  5. Step 5: Solve for x
    x = 292,824,782,598.46/514,013.11
  6. Step 6: Final answer
    x = 569,683.49

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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.