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Finding the Fourth Proportional to 465,370.86, 698,206.77 and 228,547.47

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Solution

The fourth proportional to 465,370.86, 698,206.77 and 228,547.47 is: 342,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,370.86 : 698,206.77 = 228,547.47 : x
  2. Step 2: Convert to fraction form
    465,370.86/698,206.77 = 228,547.47/x
  3. Step 3: Cross multiply
    465,370.86x = 698,206.77 × 228,547.47
  4. Step 4: Simplify right side
    465,370.86x = 159,573,390,820.37
  5. Step 5: Solve for x
    x = 159,573,390,820.37/465,370.86
  6. Step 6: Final answer
    x = 342,895.11

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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.