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Finding the Fourth Proportional to 273,411.40, 410,117.10 and 153,345.10

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Solution

The fourth proportional to 273,411.40, 410,117.10 and 153,345.10 is: 230,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,411.40 : 410,117.10 = 153,345.10 : x
  2. Step 2: Convert to fraction form
    273,411.40/410,117.10 = 153,345.10/x
  3. Step 3: Cross multiply
    273,411.40x = 410,117.10 × 153,345.10
  4. Step 4: Simplify right side
    273,411.40x = 62,889,447,711.21
  5. Step 5: Solve for x
    x = 62,889,447,711.21/273,411.40
  6. Step 6: Final answer
    x = 230,017.65

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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.