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Finding the Fourth Proportional to 417,075.76, 575,564.16 and 226,087.48

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Solution

The fourth proportional to 417,075.76, 575,564.16 and 226,087.48 is: 312,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,075.76 : 575,564.16 = 226,087.48 : x
  2. Step 2: Convert to fraction form
    417,075.76/575,564.16 = 226,087.48/x
  3. Step 3: Cross multiply
    417,075.76x = 575,564.16 × 226,087.48
  4. Step 4: Simplify right side
    417,075.76x = 130,127,850,512.72
  5. Step 5: Solve for x
    x = 130,127,850,512.72/417,075.76
  6. Step 6: Final answer
    x = 312,000.51

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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.