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Finding the Fourth Proportional to 341,421.30, 510,965.55 and 299,430.90

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Solution

The fourth proportional to 341,421.30, 510,965.55 and 299,430.90 is: 448,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,421.30 : 510,965.55 = 299,430.90 : x
  2. Step 2: Convert to fraction form
    341,421.30/510,965.55 = 299,430.90/x
  3. Step 3: Cross multiply
    341,421.30x = 510,965.55 × 299,430.90
  4. Step 4: Simplify right side
    341,421.30x = 152,998,874,505.50
  5. Step 5: Solve for x
    x = 152,998,874,505.50/341,421.30
  6. Step 6: Final answer
    x = 448,123.40

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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.