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Finding the Fourth Proportional to 687,506.10, 948,932.82 and 469,802.91

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Solution

The fourth proportional to 687,506.10, 948,932.82 and 469,802.91 is: 648,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,506.10 : 948,932.82 = 469,802.91 : x
  2. Step 2: Convert to fraction form
    687,506.10/948,932.82 = 469,802.91/x
  3. Step 3: Cross multiply
    687,506.10x = 948,932.82 × 469,802.91
  4. Step 4: Simplify right side
    687,506.10x = 445,811,400,230.51
  5. Step 5: Solve for x
    x = 445,811,400,230.51/687,506.10
  6. Step 6: Final answer
    x = 648,447.19

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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.