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Finding the Fourth Proportional to 288,963.70, 432,862.35 and 200,317.30

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Solution

The fourth proportional to 288,963.70, 432,862.35 and 200,317.30 is: 300,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,963.70 : 432,862.35 = 200,317.30 : x
  2. Step 2: Convert to fraction form
    288,963.70/432,862.35 = 200,317.30/x
  3. Step 3: Cross multiply
    288,963.70x = 432,862.35 × 200,317.30
  4. Step 4: Simplify right side
    288,963.70x = 86,709,817,223.66
  5. Step 5: Solve for x
    x = 86,709,817,223.66/288,963.70
  6. Step 6: Final answer
    x = 300,071.66

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1.5x scale

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.