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Finding the Fourth Proportional to 596,095.64, 822,322.64 and 354,206.91

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Solution

The fourth proportional to 596,095.64, 822,322.64 and 354,206.91 is: 488,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,095.64 : 822,322.64 = 354,206.91 : x
  2. Step 2: Convert to fraction form
    596,095.64/822,322.64 = 354,206.91/x
  3. Step 3: Cross multiply
    596,095.64x = 822,322.64 × 354,206.91
  4. Step 4: Simplify right side
    596,095.64x = 291,272,361,337.44
  5. Step 5: Solve for x
    x = 291,272,361,337.44/596,095.64
  6. Step 6: Final answer
    x = 488,633.60

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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.