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Finding the Fourth Proportional to 1,069,200, 1,475,496 and 592,272

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Solution

The fourth proportional to 1,069,200, 1,475,496 and 592,272 is: 817,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,200 : 1,475,496 = 592,272 : x
  2. Step 2: Convert to fraction form
    1,069,200/1,475,496 = 592,272/x
  3. Step 3: Cross multiply
    1,069,200x = 1,475,496 × 592,272
  4. Step 4: Simplify right side
    1,069,200x = 873,894,966,912
  5. Step 5: Solve for x
    x = 873,894,966,912/1,069,200
  6. Step 6: Final answer
    x = 817,335.36

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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.