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Finding the Fourth Proportional to 468,547.69, 702,821.52 and 113,561.72

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Solution

The fourth proportional to 468,547.69, 702,821.52 and 113,561.72 is: 170,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,547.69 : 702,821.52 = 113,561.72 : x
  2. Step 2: Convert to fraction form
    468,547.69/702,821.52 = 113,561.72/x
  3. Step 3: Cross multiply
    468,547.69x = 702,821.52 × 113,561.72
  4. Step 4: Simplify right side
    468,547.69x = 79,813,620,664.21
  5. Step 5: Solve for x
    x = 79,813,620,664.21/468,547.69
  6. Step 6: Final answer
    x = 170,342.58

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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.