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Finding the Fourth Proportional to 466,210.96, 643,473 and 296,411.92

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Solution

The fourth proportional to 466,210.96, 643,473 and 296,411.92 is: 409,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,210.96 : 643,473 = 296,411.92 : x
  2. Step 2: Convert to fraction form
    466,210.96/643,473 = 296,411.92/x
  3. Step 3: Cross multiply
    466,210.96x = 643,473 × 296,411.92
  4. Step 4: Simplify right side
    466,210.96x = 190,733,067,398.16
  5. Step 5: Solve for x
    x = 190,733,067,398.16/466,210.96
  6. Step 6: Final answer
    x = 409,113.22

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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.