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Finding the Fourth Proportional to 523,334.40, 785,113.20 and 298,802.40

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Solution

The fourth proportional to 523,334.40, 785,113.20 and 298,802.40 is: 448,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,334.40 : 785,113.20 = 298,802.40 : x
  2. Step 2: Convert to fraction form
    523,334.40/785,113.20 = 298,802.40/x
  3. Step 3: Cross multiply
    523,334.40x = 785,113.20 × 298,802.40
  4. Step 4: Simplify right side
    523,334.40x = 234,593,708,431.68
  5. Step 5: Solve for x
    x = 234,593,708,431.68/523,334.40
  6. Step 6: Final answer
    x = 448,267.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.