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Finding the Fourth Proportional to 596,068.16, 822,595.70 and 341,468.56

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Solution

The fourth proportional to 596,068.16, 822,595.70 and 341,468.56 is: 471,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,068.16 : 822,595.70 = 341,468.56 : x
  2. Step 2: Convert to fraction form
    596,068.16/822,595.70 = 341,468.56/x
  3. Step 3: Cross multiply
    596,068.16x = 822,595.70 × 341,468.56
  4. Step 4: Simplify right side
    596,068.16x = 280,890,565,377.36
  5. Step 5: Solve for x
    x = 280,890,565,377.36/596,068.16
  6. Step 6: Final answer
    x = 471,239.00

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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.