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Finding the Fourth Proportional to 596,992.64, 895,488 and 409,435.52

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Solution

The fourth proportional to 596,992.64, 895,488 and 409,435.52 is: 614,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,992.64 : 895,488 = 409,435.52 : x
  2. Step 2: Convert to fraction form
    596,992.64/895,488 = 409,435.52/x
  3. Step 3: Cross multiply
    596,992.64x = 895,488 × 409,435.52
  4. Step 4: Simplify right side
    596,992.64x = 366,644,594,933.76
  5. Step 5: Solve for x
    x = 366,644,594,933.76/596,992.64
  6. Step 6: Final answer
    x = 614,152.62

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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.