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Finding the Fourth Proportional to 470,341.59, 648,822.58 and 297,955.41

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Solution

The fourth proportional to 470,341.59, 648,822.58 and 297,955.41 is: 411,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,341.59 : 648,822.58 = 297,955.41 : x
  2. Step 2: Convert to fraction form
    470,341.59/648,822.58 = 297,955.41/x
  3. Step 3: Cross multiply
    470,341.59x = 648,822.58 × 297,955.41
  4. Step 4: Simplify right side
    470,341.59x = 193,320,197,841.16
  5. Step 5: Solve for x
    x = 193,320,197,841.16/470,341.59
  6. Step 6: Final answer
    x = 411,020.85

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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.