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Finding the Fourth Proportional to 520,042.32, 716,964.48 and 412,966.80

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Solution

The fourth proportional to 520,042.32, 716,964.48 and 412,966.80 is: 569,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,042.32 : 716,964.48 = 412,966.80 : x
  2. Step 2: Convert to fraction form
    520,042.32/716,964.48 = 412,966.80/x
  3. Step 3: Cross multiply
    520,042.32x = 716,964.48 × 412,966.80
  4. Step 4: Simplify right side
    520,042.32x = 296,082,527,019.26
  5. Step 5: Solve for x
    x = 296,082,527,019.26/520,042.32
  6. Step 6: Final answer
    x = 569,343.14

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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.