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Finding the Fourth Proportional to 473,674.15, 710,559.06 and 153,812.62

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Solution

The fourth proportional to 473,674.15, 710,559.06 and 153,812.62 is: 230,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674.15 : 710,559.06 = 153,812.62 : x
  2. Step 2: Convert to fraction form
    473,674.15/710,559.06 = 153,812.62/x
  3. Step 3: Cross multiply
    473,674.15x = 710,559.06 × 153,812.62
  4. Step 4: Simplify right side
    473,674.15x = 109,292,950,683.34
  5. Step 5: Solve for x
    x = 109,292,950,683.34/473,674.15
  6. Step 6: Final answer
    x = 230,734.46

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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.