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Finding the Fourth Proportional to 473,802.90, 710,741.61 and 158,260.92

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Solution

The fourth proportional to 473,802.90, 710,741.61 and 158,260.92 is: 237,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,802.90 : 710,741.61 = 158,260.92 : x
  2. Step 2: Convert to fraction form
    473,802.90/710,741.61 = 158,260.92/x
  3. Step 3: Cross multiply
    473,802.90x = 710,741.61 × 158,260.92
  4. Step 4: Simplify right side
    473,802.90x = 112,482,621,080.88
  5. Step 5: Solve for x
    x = 112,482,621,080.88/473,802.90
  6. Step 6: Final answer
    x = 237,403.83

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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.