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Finding the Fourth Proportional to 434,166.61, 650,128.32 and 299,645.77

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Solution

The fourth proportional to 434,166.61, 650,128.32 and 299,645.77 is: 448,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,166.61 : 650,128.32 = 299,645.77 : x
  2. Step 2: Convert to fraction form
    434,166.61/650,128.32 = 299,645.77/x
  3. Step 3: Cross multiply
    434,166.61x = 650,128.32 × 299,645.77
  4. Step 4: Simplify right side
    434,166.61x = 194,808,201,045.21
  5. Step 5: Solve for x
    x = 194,808,201,045.21/434,166.61
  6. Step 6: Final answer
    x = 448,694.57

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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.