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Finding the Fourth Proportional to 472,405.10, 708,607.65 and 295,258.10

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Solution

The fourth proportional to 472,405.10, 708,607.65 and 295,258.10 is: 442,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,405.10 : 708,607.65 = 295,258.10 : x
  2. Step 2: Convert to fraction form
    472,405.10/708,607.65 = 295,258.10/x
  3. Step 3: Cross multiply
    472,405.10x = 708,607.65 × 295,258.10
  4. Step 4: Simplify right side
    472,405.10x = 209,222,148,384.47
  5. Step 5: Solve for x
    x = 209,222,148,384.47/472,405.10
  6. Step 6: Final answer
    x = 442,887.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.