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Finding the Fourth Proportional to 533,114.40, 798,116.40 and 477,127.20

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Solution

The fourth proportional to 533,114.40, 798,116.40 and 477,127.20 is: 714,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,114.40 : 798,116.40 = 477,127.20 : x
  2. Step 2: Convert to fraction form
    533,114.40/798,116.40 = 477,127.20/x
  3. Step 3: Cross multiply
    533,114.40x = 798,116.40 × 477,127.20
  4. Step 4: Simplify right side
    533,114.40x = 380,803,043,206.08
  5. Step 5: Solve for x
    x = 380,803,043,206.08/533,114.40
  6. Step 6: Final answer
    x = 714,298.93

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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.