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Finding the Fourth Proportional to 313,828.40, 470,051.40 and 272,356.40

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Solution

The fourth proportional to 313,828.40, 470,051.40 and 272,356.40 is: 407,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,828.40 : 470,051.40 = 272,356.40 : x
  2. Step 2: Convert to fraction form
    313,828.40/470,051.40 = 272,356.40/x
  3. Step 3: Cross multiply
    313,828.40x = 470,051.40 × 272,356.40
  4. Step 4: Simplify right side
    313,828.40x = 128,021,507,118.96
  5. Step 5: Solve for x
    x = 128,021,507,118.96/313,828.40
  6. Step 6: Final answer
    x = 407,934.74

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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.