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Finding the Fourth Proportional to 416,946.57, 575,386.77 and 225,959.95

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Solution

The fourth proportional to 416,946.57, 575,386.77 and 225,959.95 is: 311,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,946.57 : 575,386.77 = 225,959.95 : x
  2. Step 2: Convert to fraction form
    416,946.57/575,386.77 = 225,959.95/x
  3. Step 3: Cross multiply
    416,946.57x = 575,386.77 × 225,959.95
  4. Step 4: Simplify right side
    416,946.57x = 130,014,365,779.86
  5. Step 5: Solve for x
    x = 130,014,365,779.86/416,946.57
  6. Step 6: Final answer
    x = 311,825.00

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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.