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Finding the Fourth Proportional to 380,514.02, 570,797.65 and 152,809.59

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Solution

The fourth proportional to 380,514.02, 570,797.65 and 152,809.59 is: 229,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.02 : 570,797.65 = 152,809.59 : x
  2. Step 2: Convert to fraction form
    380,514.02/570,797.65 = 152,809.59/x
  3. Step 3: Cross multiply
    380,514.02x = 570,797.65 × 152,809.59
  4. Step 4: Simplify right side
    380,514.02x = 87,223,357,200.97
  5. Step 5: Solve for x
    x = 87,223,357,200.97/380,514.02
  6. Step 6: Final answer
    x = 229,225.08

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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.