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Finding the Fourth Proportional to 597,473.61, 824,503.16 and 325,543.75

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Solution

The fourth proportional to 597,473.61, 824,503.16 and 325,543.75 is: 449,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,473.61 : 824,503.16 = 325,543.75 : x
  2. Step 2: Convert to fraction form
    597,473.61/824,503.16 = 325,543.75/x
  3. Step 3: Cross multiply
    597,473.61x = 824,503.16 × 325,543.75
  4. Step 4: Simplify right side
    597,473.61x = 268,411,847,514.67
  5. Step 5: Solve for x
    x = 268,411,847,514.67/597,473.61
  6. Step 6: Final answer
    x = 449,244.69

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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.