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Finding the Fourth Proportional to 477,478.34, 716,264.28 and 173,955

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Solution

The fourth proportional to 477,478.34, 716,264.28 and 173,955 is: 260,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,478.34 : 716,264.28 = 173,955 : x
  2. Step 2: Convert to fraction form
    477,478.34/716,264.28 = 173,955/x
  3. Step 3: Cross multiply
    477,478.34x = 716,264.28 × 173,955
  4. Step 4: Simplify right side
    477,478.34x = 124,597,752,827.40
  5. Step 5: Solve for x
    x = 124,597,752,827.40/477,478.34
  6. Step 6: Final answer
    x = 260,949.54

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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.