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Finding the Fourth Proportional to 434,049.60, 651,106.80 and 153,530.40

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Solution

The fourth proportional to 434,049.60, 651,106.80 and 153,530.40 is: 230,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,049.60 : 651,106.80 = 153,530.40 : x
  2. Step 2: Convert to fraction form
    434,049.60/651,106.80 = 153,530.40/x
  3. Step 3: Cross multiply
    434,049.60x = 651,106.80 × 153,530.40
  4. Step 4: Simplify right side
    434,049.60x = 99,964,687,446.72
  5. Step 5: Solve for x
    x = 99,964,687,446.72/434,049.60
  6. Step 6: Final answer
    x = 230,307.06

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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.