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Finding the Fourth Proportional to 302,842.13, 417,930.77 and 168,714.77

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Solution

The fourth proportional to 302,842.13, 417,930.77 and 168,714.77 is: 232,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842.13 : 417,930.77 = 168,714.77 : x
  2. Step 2: Convert to fraction form
    302,842.13/417,930.77 = 168,714.77/x
  3. Step 3: Cross multiply
    302,842.13x = 417,930.77 × 168,714.77
  4. Step 4: Simplify right side
    302,842.13x = 70,511,092,068.61
  5. Step 5: Solve for x
    x = 70,511,092,068.61/302,842.13
  6. Step 6: Final answer
    x = 232,831.19

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1.5x scale

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.