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Finding the Fourth Proportional to 338,866.80, 508,802.40 and 189,405.60

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Solution

The fourth proportional to 338,866.80, 508,802.40 and 189,405.60 is: 284,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,866.80 : 508,802.40 = 189,405.60 : x
  2. Step 2: Convert to fraction form
    338,866.80/508,802.40 = 189,405.60/x
  3. Step 3: Cross multiply
    338,866.80x = 508,802.40 × 189,405.60
  4. Step 4: Simplify right side
    338,866.80x = 96,370,023,853.44
  5. Step 5: Solve for x
    x = 96,370,023,853.44/338,866.80
  6. Step 6: Final answer
    x = 284,389.10

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1.5x scale

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.