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Finding the Fourth Proportional to 468,547.92, 646,596 and 253,689.84

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Solution

The fourth proportional to 468,547.92, 646,596 and 253,689.84 is: 350,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,547.92 : 646,596 = 253,689.84 : x
  2. Step 2: Convert to fraction form
    468,547.92/646,596 = 253,689.84/x
  3. Step 3: Cross multiply
    468,547.92x = 646,596 × 253,689.84
  4. Step 4: Simplify right side
    468,547.92x = 164,034,835,784.64
  5. Step 5: Solve for x
    x = 164,034,835,784.64/468,547.92
  6. Step 6: Final answer
    x = 350,091.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.