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Finding the Fourth Proportional to 780,009, 1,170,013.50 and 189,033

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Solution

The fourth proportional to 780,009, 1,170,013.50 and 189,033 is: 283,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,009 : 1,170,013.50 = 189,033 : x
  2. Step 2: Convert to fraction form
    780,009/1,170,013.50 = 189,033/x
  3. Step 3: Cross multiply
    780,009x = 1,170,013.50 × 189,033
  4. Step 4: Simplify right side
    780,009x = 221,171,161,945.50
  5. Step 5: Solve for x
    x = 221,171,161,945.50/780,009
  6. Step 6: Final answer
    x = 283,549.50

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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.