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Finding the Fourth Proportional to 472,154.02, 708,230.04 and 147,967

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Solution

The fourth proportional to 472,154.02, 708,230.04 and 147,967 is: 221,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,154.02 : 708,230.04 = 147,967 : x
  2. Step 2: Convert to fraction form
    472,154.02/708,230.04 = 147,967/x
  3. Step 3: Cross multiply
    472,154.02x = 708,230.04 × 147,967
  4. Step 4: Simplify right side
    472,154.02x = 104,794,674,328.68
  5. Step 5: Solve for x
    x = 104,794,674,328.68/472,154.02
  6. Step 6: Final answer
    x = 221,950.19

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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.