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Finding the Fourth Proportional to 698,069.16, 963,821.70 and 468,975.24

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Solution

The fourth proportional to 698,069.16, 963,821.70 and 468,975.24 is: 647,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,069.16 : 963,821.70 = 468,975.24 : x
  2. Step 2: Convert to fraction form
    698,069.16/963,821.70 = 468,975.24/x
  3. Step 3: Cross multiply
    698,069.16x = 963,821.70 × 468,975.24
  4. Step 4: Simplify right side
    698,069.16x = 452,008,513,074.71
  5. Step 5: Solve for x
    x = 452,008,513,074.71/698,069.16
  6. Step 6: Final answer
    x = 647,512.51

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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.