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Finding the Fourth Proportional to 585,266.60, 877,970.25 and 206,108.98

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Solution

The fourth proportional to 585,266.60, 877,970.25 and 206,108.98 is: 309,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,266.60 : 877,970.25 = 206,108.98 : x
  2. Step 2: Convert to fraction form
    585,266.60/877,970.25 = 206,108.98/x
  3. Step 3: Cross multiply
    585,266.60x = 877,970.25 × 206,108.98
  4. Step 4: Simplify right side
    585,266.60x = 180,957,547,277.45
  5. Step 5: Solve for x
    x = 180,957,547,277.45/585,266.60
  6. Step 6: Final answer
    x = 309,188.24

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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.