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Finding the Fourth Proportional to 477,688.29, 716,578.55 and 174,164.12

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Solution

The fourth proportional to 477,688.29, 716,578.55 and 174,164.12 is: 261,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,688.29 : 716,578.55 = 174,164.12 : x
  2. Step 2: Convert to fraction form
    477,688.29/716,578.55 = 174,164.12/x
  3. Step 3: Cross multiply
    477,688.29x = 716,578.55 × 174,164.12
  4. Step 4: Simplify right side
    477,688.29x = 124,802,275,488.95
  5. Step 5: Solve for x
    x = 124,802,275,488.95/477,688.29
  6. Step 6: Final answer
    x = 261,263.00

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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.