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Finding the Fourth Proportional to 596,409.90, 894,308.40 and 175,631.10

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Solution

The fourth proportional to 596,409.90, 894,308.40 and 175,631.10 is: 263,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,409.90 : 894,308.40 = 175,631.10 : x
  2. Step 2: Convert to fraction form
    596,409.90/894,308.40 = 175,631.10/x
  3. Step 3: Cross multiply
    596,409.90x = 894,308.40 × 175,631.10
  4. Step 4: Simplify right side
    596,409.90x = 157,068,368,031.24
  5. Step 5: Solve for x
    x = 157,068,368,031.24/596,409.90
  6. Step 6: Final answer
    x = 263,356.41

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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.