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Finding the Fourth Proportional to 583,209, 804,828.42 and 314,937

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Solution

The fourth proportional to 583,209, 804,828.42 and 314,937 is: 434,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,209 : 804,828.42 = 314,937 : x
  2. Step 2: Convert to fraction form
    583,209/804,828.42 = 314,937/x
  3. Step 3: Cross multiply
    583,209x = 804,828.42 × 314,937
  4. Step 4: Simplify right side
    583,209x = 253,470,248,109.54
  5. Step 5: Solve for x
    x = 253,470,248,109.54/583,209
  6. Step 6: Final answer
    x = 434,613.06

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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.