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Finding the Fourth Proportional to 357,073.10, 492,779.26 and 213,916.13

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Solution

The fourth proportional to 357,073.10, 492,779.26 and 213,916.13 is: 295,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,073.10 : 492,779.26 = 213,916.13 : x
  2. Step 2: Convert to fraction form
    357,073.10/492,779.26 = 213,916.13/x
  3. Step 3: Cross multiply
    357,073.10x = 492,779.26 × 213,916.13
  4. Step 4: Simplify right side
    357,073.10x = 105,413,432,243.46
  5. Step 5: Solve for x
    x = 105,413,432,243.46/357,073.10
  6. Step 6: Final answer
    x = 295,215.27

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1.5x scale

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.