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Finding the Fourth Proportional to 473,971.50, 711,080.37 and 141,547.50

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Solution

The fourth proportional to 473,971.50, 711,080.37 and 141,547.50 is: 212,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,971.50 : 711,080.37 = 141,547.50 : x
  2. Step 2: Convert to fraction form
    473,971.50/711,080.37 = 141,547.50/x
  3. Step 3: Cross multiply
    473,971.50x = 711,080.37 × 141,547.50
  4. Step 4: Simplify right side
    473,971.50x = 100,651,648,672.58
  5. Step 5: Solve for x
    x = 100,651,648,672.58/473,971.50
  6. Step 6: Final answer
    x = 212,358.02

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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.