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Finding the Fourth Proportional to 290,415.40, 435,623.10 and 172,025.80

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Solution

The fourth proportional to 290,415.40, 435,623.10 and 172,025.80 is: 258,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,415.40 : 435,623.10 = 172,025.80 : x
  2. Step 2: Convert to fraction form
    290,415.40/435,623.10 = 172,025.80/x
  3. Step 3: Cross multiply
    290,415.40x = 435,623.10 × 172,025.80
  4. Step 4: Simplify right side
    290,415.40x = 74,938,412,275.98
  5. Step 5: Solve for x
    x = 74,938,412,275.98/290,415.40
  6. Step 6: Final answer
    x = 258,038.70

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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.