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Finding the Fourth Proportional to 592,646.23, 817,851.76 and 320,714.11

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Solution

The fourth proportional to 592,646.23, 817,851.76 and 320,714.11 is: 442,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,646.23 : 817,851.76 = 320,714.11 : x
  2. Step 2: Convert to fraction form
    592,646.23/817,851.76 = 320,714.11/x
  3. Step 3: Cross multiply
    592,646.23x = 817,851.76 × 320,714.11
  4. Step 4: Simplify right side
    592,646.23x = 262,296,596,473.92
  5. Step 5: Solve for x
    x = 262,296,596,473.92/592,646.23
  6. Step 6: Final answer
    x = 442,585.45

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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.