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Finding the Fourth Proportional to 601,947.90, 830,150.06 and 398,206.98

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Solution

The fourth proportional to 601,947.90, 830,150.06 and 398,206.98 is: 549,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,947.90 : 830,150.06 = 398,206.98 : x
  2. Step 2: Convert to fraction form
    601,947.90/830,150.06 = 398,206.98/x
  3. Step 3: Cross multiply
    601,947.90x = 830,150.06 × 398,206.98
  4. Step 4: Simplify right side
    601,947.90x = 330,571,546,348.38
  5. Step 5: Solve for x
    x = 330,571,546,348.38/601,947.90
  6. Step 6: Final answer
    x = 549,169.70

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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.