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Finding the Fourth Proportional to 463,430.22, 695,157.51 and 147,886.80

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Solution

The fourth proportional to 463,430.22, 695,157.51 and 147,886.80 is: 221,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,430.22 : 695,157.51 = 147,886.80 : x
  2. Step 2: Convert to fraction form
    463,430.22/695,157.51 = 147,886.80/x
  3. Step 3: Cross multiply
    463,430.22x = 695,157.51 × 147,886.80
  4. Step 4: Simplify right side
    463,430.22x = 102,804,619,649.87
  5. Step 5: Solve for x
    x = 102,804,619,649.87/463,430.22
  6. Step 6: Final answer
    x = 221,834.09

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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.