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Finding the Fourth Proportional to 563,314.40, 843,416.40 and 438,898.40

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Solution

The fourth proportional to 563,314.40, 843,416.40 and 438,898.40 is: 657,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,314.40 : 843,416.40 = 438,898.40 : x
  2. Step 2: Convert to fraction form
    563,314.40/843,416.40 = 438,898.40/x
  3. Step 3: Cross multiply
    563,314.40x = 843,416.40 × 438,898.40
  4. Step 4: Simplify right side
    563,314.40x = 370,174,108,493.76
  5. Step 5: Solve for x
    x = 370,174,108,493.76/563,314.40
  6. Step 6: Final answer
    x = 657,135.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.