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Finding the Fourth Proportional to 314,429.10, 471,643.65 and 156,965.10

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Solution

The fourth proportional to 314,429.10, 471,643.65 and 156,965.10 is: 235,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,429.10 : 471,643.65 = 156,965.10 : x
  2. Step 2: Convert to fraction form
    314,429.10/471,643.65 = 156,965.10/x
  3. Step 3: Cross multiply
    314,429.10x = 471,643.65 × 156,965.10
  4. Step 4: Simplify right side
    314,429.10x = 74,031,592,686.62
  5. Step 5: Solve for x
    x = 74,031,592,686.62/314,429.10
  6. Step 6: Final answer
    x = 235,447.65

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1.5x scale

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.