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Finding the Fourth Proportional to 417,077.40, 575,567.58 and 226,090.20

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Solution

The fourth proportional to 417,077.40, 575,567.58 and 226,090.20 is: 312,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,077.40 : 575,567.58 = 226,090.20 : x
  2. Step 2: Convert to fraction form
    417,077.40/575,567.58 = 226,090.20/x
  3. Step 3: Cross multiply
    417,077.40x = 575,567.58 × 226,090.20
  4. Step 4: Simplify right side
    417,077.40x = 130,130,189,275.72
  5. Step 5: Solve for x
    x = 130,130,189,275.72/417,077.40
  6. Step 6: Final answer
    x = 312,004.89

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1.5x scale

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.