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Finding the Fourth Proportional to 402,314.40, 564,814.80 and 402,314.40

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Solution

The fourth proportional to 402,314.40, 564,814.80 and 402,314.40 is: 564,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,314.40 : 564,814.80 = 402,314.40 : x
  2. Step 2: Convert to fraction form
    402,314.40/564,814.80 = 402,314.40/x
  3. Step 3: Cross multiply
    402,314.40x = 564,814.80 × 402,314.40
  4. Step 4: Simplify right side
    402,314.40x = 227,233,127,373.12
  5. Step 5: Solve for x
    x = 227,233,127,373.12/402,314.40
  6. Step 6: Final answer
    x = 564,814.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.