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Finding the Fourth Proportional to 291,341.16, 402,049.96 and 164,016.98

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Solution

The fourth proportional to 291,341.16, 402,049.96 and 164,016.98 is: 226,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,341.16 : 402,049.96 = 164,016.98 : x
  2. Step 2: Convert to fraction form
    291,341.16/402,049.96 = 164,016.98/x
  3. Step 3: Cross multiply
    291,341.16x = 402,049.96 × 164,016.98
  4. Step 4: Simplify right side
    291,341.16x = 65,943,020,248.32
  5. Step 5: Solve for x
    x = 65,943,020,248.32/291,341.16
  6. Step 6: Final answer
    x = 226,342.96

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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.