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Finding the Fourth Proportional to 700,292, 1,050,439.28 and 174,980

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Solution

The fourth proportional to 700,292, 1,050,439.28 and 174,980 is: 262,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,292 : 1,050,439.28 = 174,980 : x
  2. Step 2: Convert to fraction form
    700,292/1,050,439.28 = 174,980/x
  3. Step 3: Cross multiply
    700,292x = 1,050,439.28 × 174,980
  4. Step 4: Simplify right side
    700,292x = 183,805,865,214.40
  5. Step 5: Solve for x
    x = 183,805,865,214.40/700,292
  6. Step 6: Final answer
    x = 262,470.32

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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.