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Finding the Fourth Proportional to 343,045.48, 514,617.98 and 106,407.16

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Solution

The fourth proportional to 343,045.48, 514,617.98 and 106,407.16 is: 159,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,045.48 : 514,617.98 = 106,407.16 : x
  2. Step 2: Convert to fraction form
    343,045.48/514,617.98 = 106,407.16/x
  3. Step 3: Cross multiply
    343,045.48x = 514,617.98 × 106,407.16
  4. Step 4: Simplify right side
    343,045.48x = 54,759,037,736.74
  5. Step 5: Solve for x
    x = 54,759,037,736.74/343,045.48
  6. Step 6: Final answer
    x = 159,626.17

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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.