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Finding the Fourth Proportional to 473,157.18, 709,035.93 and 314,811.90

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Solution

The fourth proportional to 473,157.18, 709,035.93 and 314,811.90 is: 471,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,157.18 : 709,035.93 = 314,811.90 : x
  2. Step 2: Convert to fraction form
    473,157.18/709,035.93 = 314,811.90/x
  3. Step 3: Cross multiply
    473,157.18x = 709,035.93 × 314,811.90
  4. Step 4: Simplify right side
    473,157.18x = 223,212,948,291.57
  5. Step 5: Solve for x
    x = 223,212,948,291.57/473,157.18
  6. Step 6: Final answer
    x = 471,752.22

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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.