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Finding the Fourth Proportional to 282,852.82, 424,558.05 and 207,762.16

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Solution

The fourth proportional to 282,852.82, 424,558.05 and 207,762.16 is: 311,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,852.82 : 424,558.05 = 207,762.16 : x
  2. Step 2: Convert to fraction form
    282,852.82/424,558.05 = 207,762.16/x
  3. Step 3: Cross multiply
    282,852.82x = 424,558.05 × 207,762.16
  4. Step 4: Simplify right side
    282,852.82x = 88,207,097,513.39
  5. Step 5: Solve for x
    x = 88,207,097,513.39/282,852.82
  6. Step 6: Final answer
    x = 311,848.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.