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Finding the Fourth Proportional to 416,946.56, 575,386.76 and 225,959.96

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Solution

The fourth proportional to 416,946.56, 575,386.76 and 225,959.96 is: 311,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,946.56 : 575,386.76 = 225,959.96 : x
  2. Step 2: Convert to fraction form
    416,946.56/575,386.76 = 225,959.96/x
  3. Step 3: Cross multiply
    416,946.56x = 575,386.76 × 225,959.96
  4. Step 4: Simplify right side
    416,946.56x = 130,014,369,274.13
  5. Step 5: Solve for x
    x = 130,014,369,274.13/416,946.56
  6. Step 6: Final answer
    x = 311,825.02

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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.