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Finding the Fourth Proportional to 598,106.34, 825,363.60 and 340,017.12

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Solution

The fourth proportional to 598,106.34, 825,363.60 and 340,017.12 is: 469,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,106.34 : 825,363.60 = 340,017.12 : x
  2. Step 2: Convert to fraction form
    598,106.34/825,363.60 = 340,017.12/x
  3. Step 3: Cross multiply
    598,106.34x = 825,363.60 × 340,017.12
  4. Step 4: Simplify right side
    598,106.34x = 280,637,754,224.83
  5. Step 5: Solve for x
    x = 280,637,754,224.83/598,106.34
  6. Step 6: Final answer
    x = 469,210.47

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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.