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Finding the Fourth Proportional to 570,074.88, 785,744.58 and 432,208.17

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Solution

The fourth proportional to 570,074.88, 785,744.58 and 432,208.17 is: 595,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,074.88 : 785,744.58 = 432,208.17 : x
  2. Step 2: Convert to fraction form
    570,074.88/785,744.58 = 432,208.17/x
  3. Step 3: Cross multiply
    570,074.88x = 785,744.58 × 432,208.17
  4. Step 4: Simplify right side
    570,074.88x = 339,605,227,009.22
  5. Step 5: Solve for x
    x = 339,605,227,009.22/570,074.88
  6. Step 6: Final answer
    x = 595,720.39

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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.