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Finding the Fourth Proportional to 470,091.78, 705,417.75 and 170,595.72

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Solution

The fourth proportional to 470,091.78, 705,417.75 and 170,595.72 is: 255,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,091.78 : 705,417.75 = 170,595.72 : x
  2. Step 2: Convert to fraction form
    470,091.78/705,417.75 = 170,595.72/x
  3. Step 3: Cross multiply
    470,091.78x = 705,417.75 × 170,595.72
  4. Step 4: Simplify right side
    470,091.78x = 120,341,248,962.03
  5. Step 5: Solve for x
    x = 120,341,248,962.03/470,091.78
  6. Step 6: Final answer
    x = 255,995.22

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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.