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Finding the Fourth Proportional to 700,049, 1,050,073.52 and 201,413

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Solution

The fourth proportional to 700,049, 1,050,073.52 and 201,413 is: 302,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,049 : 1,050,073.52 = 201,413 : x
  2. Step 2: Convert to fraction form
    700,049/1,050,073.52 = 201,413/x
  3. Step 3: Cross multiply
    700,049x = 1,050,073.52 × 201,413
  4. Step 4: Simplify right side
    700,049x = 211,498,456,876.70
  5. Step 5: Solve for x
    x = 211,498,456,876.70/700,049
  6. Step 6: Final answer
    x = 302,119.50

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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.