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Finding the Fourth Proportional to 477,653.40, 716,480.10 and 477,653.40

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Solution

The fourth proportional to 477,653.40, 716,480.10 and 477,653.40 is: 716,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,653.40 : 716,480.10 = 477,653.40 : x
  2. Step 2: Convert to fraction form
    477,653.40/716,480.10 = 477,653.40/x
  3. Step 3: Cross multiply
    477,653.40x = 716,480.10 × 477,653.40
  4. Step 4: Simplify right side
    477,653.40x = 342,229,155,797.34
  5. Step 5: Solve for x
    x = 342,229,155,797.34/477,653.40
  6. Step 6: Final answer
    x = 716,480.10

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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.