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Finding the Fourth Proportional to 562,916.10, 843,308.52 and 278,275.62

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Solution

The fourth proportional to 562,916.10, 843,308.52 and 278,275.62 is: 416,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,916.10 : 843,308.52 = 278,275.62 : x
  2. Step 2: Convert to fraction form
    562,916.10/843,308.52 = 278,275.62/x
  3. Step 3: Cross multiply
    562,916.10x = 843,308.52 × 278,275.62
  4. Step 4: Simplify right side
    562,916.10x = 234,672,201,254.28
  5. Step 5: Solve for x
    x = 234,672,201,254.28/562,916.10
  6. Step 6: Final answer
    x = 416,886.64

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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.