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Finding the Fourth Proportional to 707,758.46, 976,803.00 and 417,452.13

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Solution

The fourth proportional to 707,758.46, 976,803.00 and 417,452.13 is: 576,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,758.46 : 976,803.00 = 417,452.13 : x
  2. Step 2: Convert to fraction form
    707,758.46/976,803.00 = 417,452.13/x
  3. Step 3: Cross multiply
    707,758.46x = 976,803.00 × 417,452.13
  4. Step 4: Simplify right side
    707,758.46x = 407,768,490,853.13
  5. Step 5: Solve for x
    x = 407,768,490,853.13/707,758.46
  6. Step 6: Final answer
    x = 576,140.75

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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.