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Finding the Fourth Proportional to 501,427.59, 692,019.77 and 286,598.49

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Solution

The fourth proportional to 501,427.59, 692,019.77 and 286,598.49 is: 395,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,427.59 : 692,019.77 = 286,598.49 : x
  2. Step 2: Convert to fraction form
    501,427.59/692,019.77 = 286,598.49/x
  3. Step 3: Cross multiply
    501,427.59x = 692,019.77 × 286,598.49
  4. Step 4: Simplify right side
    501,427.59x = 198,331,821,132.15
  5. Step 5: Solve for x
    x = 198,331,821,132.15/501,427.59
  6. Step 6: Final answer
    x = 395,534.32

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