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Finding the Fourth Proportional to 430,430.88, 593,748.72 and 258,302.64

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Solution

The fourth proportional to 430,430.88, 593,748.72 and 258,302.64 is: 356,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,430.88 : 593,748.72 = 258,302.64 : x
  2. Step 2: Convert to fraction form
    430,430.88/593,748.72 = 258,302.64/x
  3. Step 3: Cross multiply
    430,430.88x = 593,748.72 × 258,302.64
  4. Step 4: Simplify right side
    430,430.88x = 153,366,861,872.62
  5. Step 5: Solve for x
    x = 153,366,861,872.62/430,430.88
  6. Step 6: Final answer
    x = 356,310.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.