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Finding the Fourth Proportional to 477,577.40, 716,366.10 and 477,577.40

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Solution

The fourth proportional to 477,577.40, 716,366.10 and 477,577.40 is: 716,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,577.40 : 716,366.10 = 477,577.40 : x
  2. Step 2: Convert to fraction form
    477,577.40/716,366.10 = 477,577.40/x
  3. Step 3: Cross multiply
    477,577.40x = 716,366.10 × 477,577.40
  4. Step 4: Simplify right side
    477,577.40x = 342,120,259,486.14
  5. Step 5: Solve for x
    x = 342,120,259,486.14/477,577.40
  6. Step 6: Final answer
    x = 716,366.10

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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.