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Finding the Fourth Proportional to 698,116, 963,403.76 and 392,205.28

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Solution

The fourth proportional to 698,116, 963,403.76 and 392,205.28 is: 541,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,116 : 963,403.76 = 392,205.28 : x
  2. Step 2: Convert to fraction form
    698,116/963,403.76 = 392,205.28/x
  3. Step 3: Cross multiply
    698,116x = 963,403.76 × 392,205.28
  4. Step 4: Simplify right side
    698,116x = 377,852,041,443.85
  5. Step 5: Solve for x
    x = 377,852,041,443.85/698,116
  6. Step 6: Final answer
    x = 541,245.35

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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.