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Finding the Fourth Proportional to 282,973.76, 390,495.56 and 155,649.32

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Solution

The fourth proportional to 282,973.76, 390,495.56 and 155,649.32 is: 214,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,973.76 : 390,495.56 = 155,649.32 : x
  2. Step 2: Convert to fraction form
    282,973.76/390,495.56 = 155,649.32/x
  3. Step 3: Cross multiply
    282,973.76x = 390,495.56 × 155,649.32
  4. Step 4: Simplify right side
    282,973.76x = 60,780,368,377.02
  5. Step 5: Solve for x
    x = 60,780,368,377.02/282,973.76
  6. Step 6: Final answer
    x = 214,791.54

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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.