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Finding the Fourth Proportional to 584,808.66, 807,042.69 and 343,095.48

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Solution

The fourth proportional to 584,808.66, 807,042.69 and 343,095.48 is: 473,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,808.66 : 807,042.69 = 343,095.48 : x
  2. Step 2: Convert to fraction form
    584,808.66/807,042.69 = 343,095.48/x
  3. Step 3: Cross multiply
    584,808.66x = 807,042.69 × 343,095.48
  4. Step 4: Simplify right side
    584,808.66x = 276,892,699,106.04
  5. Step 5: Solve for x
    x = 276,892,699,106.04/584,808.66
  6. Step 6: Final answer
    x = 473,475.72

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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.