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Finding the Fourth Proportional to 470,152.90, 704,746.80 and 185,728.30

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Solution

The fourth proportional to 470,152.90, 704,746.80 and 185,728.30 is: 278,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,152.90 : 704,746.80 = 185,728.30 : x
  2. Step 2: Convert to fraction form
    470,152.90/704,746.80 = 185,728.30/x
  3. Step 3: Cross multiply
    470,152.90x = 704,746.80 × 185,728.30
  4. Step 4: Simplify right side
    470,152.90x = 130,891,425,094.44
  5. Step 5: Solve for x
    x = 130,891,425,094.44/470,152.90
  6. Step 6: Final answer
    x = 278,401.82

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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.