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Finding the Fourth Proportional to 460,126.52, 634,973.16 and 256,172.16

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Solution

The fourth proportional to 460,126.52, 634,973.16 and 256,172.16 is: 353,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,126.52 : 634,973.16 = 256,172.16 : x
  2. Step 2: Convert to fraction form
    460,126.52/634,973.16 = 256,172.16/x
  3. Step 3: Cross multiply
    460,126.52x = 634,973.16 × 256,172.16
  4. Step 4: Simplify right side
    460,126.52x = 162,662,445,939.23
  5. Step 5: Solve for x
    x = 162,662,445,939.23/460,126.52
  6. Step 6: Final answer
    x = 353,516.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.