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Finding the Fourth Proportional to 469,780.64, 648,026.16 and 299,823.20

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Solution

The fourth proportional to 469,780.64, 648,026.16 and 299,823.20 is: 413,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,780.64 : 648,026.16 = 299,823.20 : x
  2. Step 2: Convert to fraction form
    469,780.64/648,026.16 = 299,823.20/x
  3. Step 3: Cross multiply
    469,780.64x = 648,026.16 × 299,823.20
  4. Step 4: Simplify right side
    469,780.64x = 194,293,276,974.91
  5. Step 5: Solve for x
    x = 194,293,276,974.91/469,780.64
  6. Step 6: Final answer
    x = 413,582.98

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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.