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Finding the Fourth Proportional to 706,368, 1,059,438.24 and 193,913.52

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Solution

The fourth proportional to 706,368, 1,059,438.24 and 193,913.52 is: 290,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,368 : 1,059,438.24 = 193,913.52 : x
  2. Step 2: Convert to fraction form
    706,368/1,059,438.24 = 193,913.52/x
  3. Step 3: Cross multiply
    706,368x = 1,059,438.24 × 193,913.52
  4. Step 4: Simplify right side
    706,368x = 205,439,398,341.01
  5. Step 5: Solve for x
    x = 205,439,398,341.01/706,368
  6. Step 6: Final answer
    x = 290,839.05

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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.