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Finding the Fourth Proportional to 402,313.90, 564,814.10 and 402,313.90

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Solution

The fourth proportional to 402,313.90, 564,814.10 and 402,313.90 is: 564,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,313.90 : 564,814.10 = 402,313.90 : x
  2. Step 2: Convert to fraction form
    402,313.90/564,814.10 = 402,313.90/x
  3. Step 3: Cross multiply
    402,313.90x = 564,814.10 × 402,313.90
  4. Step 4: Simplify right side
    402,313.90x = 227,232,563,345.99
  5. Step 5: Solve for x
    x = 227,232,563,345.99/402,313.90
  6. Step 6: Final answer
    x = 564,814.10

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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.