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Finding the Fourth Proportional to 343,141.10, 514,503.88 and 153,566.17

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Solution

The fourth proportional to 343,141.10, 514,503.88 and 153,566.17 is: 230,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,141.10 : 514,503.88 = 153,566.17 : x
  2. Step 2: Convert to fraction form
    343,141.10/514,503.88 = 153,566.17/x
  3. Step 3: Cross multiply
    343,141.10x = 514,503.88 × 153,566.17
  4. Step 4: Simplify right side
    343,141.10x = 79,010,390,301.74
  5. Step 5: Solve for x
    x = 79,010,390,301.74/343,141.10
  6. Step 6: Final answer
    x = 230,256.27

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1.5x scale

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.