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Finding the Fourth Proportional to 385,337.64, 578,172.54 and 160,742.28

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Solution

The fourth proportional to 385,337.64, 578,172.54 and 160,742.28 is: 241,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,337.64 : 578,172.54 = 160,742.28 : x
  2. Step 2: Convert to fraction form
    385,337.64/578,172.54 = 160,742.28/x
  3. Step 3: Cross multiply
    385,337.64x = 578,172.54 × 160,742.28
  4. Step 4: Simplify right side
    385,337.64x = 92,936,772,312.99
  5. Step 5: Solve for x
    x = 92,936,772,312.99/385,337.64
  6. Step 6: Final answer
    x = 241,182.70

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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.