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Finding the Fourth Proportional to 595,712.64, 822,088.32 and 323,780.60

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Solution

The fourth proportional to 595,712.64, 822,088.32 and 323,780.60 is: 446,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,712.64 : 822,088.32 = 323,780.60 : x
  2. Step 2: Convert to fraction form
    595,712.64/822,088.32 = 323,780.60/x
  3. Step 3: Cross multiply
    595,712.64x = 822,088.32 × 323,780.60
  4. Step 4: Simplify right side
    595,712.64x = 266,176,249,502.59
  5. Step 5: Solve for x
    x = 266,176,249,502.59/595,712.64
  6. Step 6: Final answer
    x = 446,819.88

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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.