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Finding the Fourth Proportional to 434,700.30, 651,590.16 and 146,237.28

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Solution

The fourth proportional to 434,700.30, 651,590.16 and 146,237.28 is: 219,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,700.30 : 651,590.16 = 146,237.28 : x
  2. Step 2: Convert to fraction form
    434,700.30/651,590.16 = 146,237.28/x
  3. Step 3: Cross multiply
    434,700.30x = 651,590.16 × 146,237.28
  4. Step 4: Simplify right side
    434,700.30x = 95,286,772,673.16
  5. Step 5: Solve for x
    x = 95,286,772,673.16/434,700.30
  6. Step 6: Final answer
    x = 219,201.07

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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.