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Finding the Fourth Proportional to 613,762.59, 847,018.66 and 341,830.47

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Solution

The fourth proportional to 613,762.59, 847,018.66 and 341,830.47 is: 471,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,762.59 : 847,018.66 = 341,830.47 : x
  2. Step 2: Convert to fraction form
    613,762.59/847,018.66 = 341,830.47/x
  3. Step 3: Cross multiply
    613,762.59x = 847,018.66 × 341,830.47
  4. Step 4: Simplify right side
    613,762.59x = 289,536,786,646.57
  5. Step 5: Solve for x
    x = 289,536,786,646.57/613,762.59
  6. Step 6: Final answer
    x = 471,740.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.