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Finding the Fourth Proportional to 440,053.64, 659,377.32 and 282,151.16

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Solution

The fourth proportional to 440,053.64, 659,377.32 and 282,151.16 is: 422,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,053.64 : 659,377.32 = 282,151.16 : x
  2. Step 2: Convert to fraction form
    440,053.64/659,377.32 = 282,151.16/x
  3. Step 3: Cross multiply
    440,053.64x = 659,377.32 × 282,151.16
  4. Step 4: Simplify right side
    440,053.64x = 186,044,075,715.69
  5. Step 5: Solve for x
    x = 186,044,075,715.69/440,053.64
  6. Step 6: Final answer
    x = 422,775.90

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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.