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Finding the Fourth Proportional to 291,914.01, 402,841.35 and 157,778.01

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Solution

The fourth proportional to 291,914.01, 402,841.35 and 157,778.01 is: 217,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,914.01 : 402,841.35 = 157,778.01 : x
  2. Step 2: Convert to fraction form
    291,914.01/402,841.35 = 157,778.01/x
  3. Step 3: Cross multiply
    291,914.01x = 402,841.35 × 157,778.01
  4. Step 4: Simplify right side
    291,914.01x = 63,559,506,548.71
  5. Step 5: Solve for x
    x = 63,559,506,548.71/291,914.01
  6. Step 6: Final answer
    x = 217,733.66

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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.