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Finding the Fourth Proportional to 472,403.44, 651,923.52 and 257,554.38

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Solution

The fourth proportional to 472,403.44, 651,923.52 and 257,554.38 is: 355,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,403.44 : 651,923.52 = 257,554.38 : x
  2. Step 2: Convert to fraction form
    472,403.44/651,923.52 = 257,554.38/x
  3. Step 3: Cross multiply
    472,403.44x = 651,923.52 × 257,554.38
  4. Step 4: Simplify right side
    472,403.44x = 167,905,758,001.02
  5. Step 5: Solve for x
    x = 167,905,758,001.02/472,403.44
  6. Step 6: Final answer
    x = 355,428.74

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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.