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Finding the Fourth Proportional to 385,482.44, 578,223.66 and 160,948.84

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Solution

The fourth proportional to 385,482.44, 578,223.66 and 160,948.84 is: 241,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,482.44 : 578,223.66 = 160,948.84 : x
  2. Step 2: Convert to fraction form
    385,482.44/578,223.66 = 160,948.84/x
  3. Step 3: Cross multiply
    385,482.44x = 578,223.66 × 160,948.84
  4. Step 4: Simplify right side
    385,482.44x = 93,064,427,337.55
  5. Step 5: Solve for x
    x = 93,064,427,337.55/385,482.44
  6. Step 6: Final answer
    x = 241,423.26

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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.