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Finding the Fourth Proportional to 434,438.40, 651,657.60 and 153,919.20

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Solution

The fourth proportional to 434,438.40, 651,657.60 and 153,919.20 is: 230,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,438.40 : 651,657.60 = 153,919.20 : x
  2. Step 2: Convert to fraction form
    434,438.40/651,657.60 = 153,919.20/x
  3. Step 3: Cross multiply
    434,438.40x = 651,657.60 × 153,919.20
  4. Step 4: Simplify right side
    434,438.40x = 100,302,616,465.92
  5. Step 5: Solve for x
    x = 100,302,616,465.92/434,438.40
  6. Step 6: Final answer
    x = 230,878.80

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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.