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Finding the Fourth Proportional to 464,598.90, 696,619.53 and 160,893

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Solution

The fourth proportional to 464,598.90, 696,619.53 and 160,893 is: 241,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,598.90 : 696,619.53 = 160,893 : x
  2. Step 2: Convert to fraction form
    464,598.90/696,619.53 = 160,893/x
  3. Step 3: Cross multiply
    464,598.90x = 696,619.53 × 160,893
  4. Step 4: Simplify right side
    464,598.90x = 112,081,206,040.29
  5. Step 5: Solve for x
    x = 112,081,206,040.29/464,598.90
  6. Step 6: Final answer
    x = 241,242.94

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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.