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Finding the Fourth Proportional to 596,409.40, 894,307.65 and 175,630.60

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Solution

The fourth proportional to 596,409.40, 894,307.65 and 175,630.60 is: 263,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,409.40 : 894,307.65 = 175,630.60 : x
  2. Step 2: Convert to fraction form
    596,409.40/894,307.65 = 175,630.60/x
  3. Step 3: Cross multiply
    596,409.40x = 894,307.65 × 175,630.60
  4. Step 4: Simplify right side
    596,409.40x = 157,067,789,154.09
  5. Step 5: Solve for x
    x = 157,067,789,154.09/596,409.40
  6. Step 6: Final answer
    x = 263,355.66

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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.