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Finding the Fourth Proportional to 477,764.64, 716,750.64 and 145,332

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Solution

The fourth proportional to 477,764.64, 716,750.64 and 145,332 is: 218,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,764.64 : 716,750.64 = 145,332 : x
  2. Step 2: Convert to fraction form
    477,764.64/716,750.64 = 145,332/x
  3. Step 3: Cross multiply
    477,764.64x = 716,750.64 × 145,332
  4. Step 4: Simplify right side
    477,764.64x = 104,166,804,012.48
  5. Step 5: Solve for x
    x = 104,166,804,012.48/477,764.64
  6. Step 6: Final answer
    x = 218,029.54

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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.