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Finding the Fourth Proportional to 613,907.12, 847,322.52 and 412,586.48

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Solution

The fourth proportional to 613,907.12, 847,322.52 and 412,586.48 is: 569,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,907.12 : 847,322.52 = 412,586.48 : x
  2. Step 2: Convert to fraction form
    613,907.12/847,322.52 = 412,586.48/x
  3. Step 3: Cross multiply
    613,907.12x = 847,322.52 × 412,586.48
  4. Step 4: Simplify right side
    613,907.12x = 349,593,815,951.53
  5. Step 5: Solve for x
    x = 349,593,815,951.53/613,907.12
  6. Step 6: Final answer
    x = 569,457.18

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1.5x scale

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.