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Finding the Fourth Proportional to 307,281.40, 460,922.10 and 188,567.80

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Solution

The fourth proportional to 307,281.40, 460,922.10 and 188,567.80 is: 282,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,281.40 : 460,922.10 = 188,567.80 : x
  2. Step 2: Convert to fraction form
    307,281.40/460,922.10 = 188,567.80/x
  3. Step 3: Cross multiply
    307,281.40x = 460,922.10 × 188,567.80
  4. Step 4: Simplify right side
    307,281.40x = 86,915,066,368.38
  5. Step 5: Solve for x
    x = 86,915,066,368.38/307,281.40
  6. Step 6: Final answer
    x = 282,851.70

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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.