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Finding the Fourth Proportional to 295,419.79, 407,656.29 and 174,538.15

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Solution

The fourth proportional to 295,419.79, 407,656.29 and 174,538.15 is: 240,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,419.79 : 407,656.29 = 174,538.15 : x
  2. Step 2: Convert to fraction form
    295,419.79/407,656.29 = 174,538.15/x
  3. Step 3: Cross multiply
    295,419.79x = 407,656.29 × 174,538.15
  4. Step 4: Simplify right side
    295,419.79x = 71,151,575,128.81
  5. Step 5: Solve for x
    x = 71,151,575,128.81/295,419.79
  6. Step 6: Final answer
    x = 240,849.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.