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Finding the Fourth Proportional to 477,765.64, 716,752.14 and 145,333

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Solution

The fourth proportional to 477,765.64, 716,752.14 and 145,333 is: 218,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,765.64 : 716,752.14 = 145,333 : x
  2. Step 2: Convert to fraction form
    477,765.64/716,752.14 = 145,333/x
  3. Step 3: Cross multiply
    477,765.64x = 716,752.14 × 145,333
  4. Step 4: Simplify right side
    477,765.64x = 104,167,738,762.62
  5. Step 5: Solve for x
    x = 104,167,738,762.62/477,765.64
  6. Step 6: Final answer
    x = 218,031.04

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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.