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Finding the Fourth Proportional to 652,297, 900,171.48 and 380,551.72

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Solution

The fourth proportional to 652,297, 900,171.48 and 380,551.72 is: 525,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,297 : 900,171.48 = 380,551.72 : x
  2. Step 2: Convert to fraction form
    652,297/900,171.48 = 380,551.72/x
  3. Step 3: Cross multiply
    652,297x = 900,171.48 × 380,551.72
  4. Step 4: Simplify right side
    652,297x = 342,561,805,008.95
  5. Step 5: Solve for x
    x = 342,561,805,008.95/652,297
  6. Step 6: Final answer
    x = 525,162.32

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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.