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Finding the Fourth Proportional to 385,237.80, 578,547.90 and 280,175.40

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Solution

The fourth proportional to 385,237.80, 578,547.90 and 280,175.40 is: 420,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,237.80 : 578,547.90 = 280,175.40 : x
  2. Step 2: Convert to fraction form
    385,237.80/578,547.90 = 280,175.40/x
  3. Step 3: Cross multiply
    385,237.80x = 578,547.90 × 280,175.40
  4. Step 4: Simplify right side
    385,237.80x = 162,094,889,301.66
  5. Step 5: Solve for x
    x = 162,094,889,301.66/385,237.80
  6. Step 6: Final answer
    x = 420,765.80

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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.