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Finding the Fourth Proportional to 473,483.52, 710,289.57 and 153,531.06

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Solution

The fourth proportional to 473,483.52, 710,289.57 and 153,531.06 is: 230,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,483.52 : 710,289.57 = 153,531.06 : x
  2. Step 2: Convert to fraction form
    473,483.52/710,289.57 = 153,531.06/x
  3. Step 3: Cross multiply
    473,483.52x = 710,289.57 × 153,531.06
  4. Step 4: Simplify right side
    473,483.52x = 109,051,510,589.04
  5. Step 5: Solve for x
    x = 109,051,510,589.04/473,483.52
  6. Step 6: Final answer
    x = 230,317.44

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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.