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Finding the Fourth Proportional to 700,293, 1,050,440.78 and 174,981

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Solution

The fourth proportional to 700,293, 1,050,440.78 and 174,981 is: 262,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,293 : 1,050,440.78 = 174,981 : x
  2. Step 2: Convert to fraction form
    700,293/1,050,440.78 = 174,981/x
  3. Step 3: Cross multiply
    700,293x = 1,050,440.78 × 174,981
  4. Step 4: Simplify right side
    700,293x = 183,807,178,125.18
  5. Step 5: Solve for x
    x = 183,807,178,125.18/700,293
  6. Step 6: Final answer
    x = 262,471.82

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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.