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Finding the Fourth Proportional to 286,295.20, 429,442.80 and 260,051.20

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Solution

The fourth proportional to 286,295.20, 429,442.80 and 260,051.20 is: 390,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,295.20 : 429,442.80 = 260,051.20 : x
  2. Step 2: Convert to fraction form
    286,295.20/429,442.80 = 260,051.20/x
  3. Step 3: Cross multiply
    286,295.20x = 429,442.80 × 260,051.20
  4. Step 4: Simplify right side
    286,295.20x = 111,677,115,471.36
  5. Step 5: Solve for x
    x = 111,677,115,471.36/286,295.20
  6. Step 6: Final answer
    x = 390,076.80

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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.