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Finding the Fourth Proportional to 458,547.92, 684,098.34 and 433,746.64

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Solution

The fourth proportional to 458,547.92, 684,098.34 and 433,746.64 is: 647,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,547.92 : 684,098.34 = 433,746.64 : x
  2. Step 2: Convert to fraction form
    458,547.92/684,098.34 = 433,746.64/x
  3. Step 3: Cross multiply
    458,547.92x = 684,098.34 × 433,746.64
  4. Step 4: Simplify right side
    458,547.92x = 296,725,356,404.58
  5. Step 5: Solve for x
    x = 296,725,356,404.58/458,547.92
  6. Step 6: Final answer
    x = 647,097.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.