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Finding the Fourth Proportional to 529,486.98, 730,798.31 and 314,585.67

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Solution

The fourth proportional to 529,486.98, 730,798.31 and 314,585.67 is: 434,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,486.98 : 730,798.31 = 314,585.67 : x
  2. Step 2: Convert to fraction form
    529,486.98/730,798.31 = 314,585.67/x
  3. Step 3: Cross multiply
    529,486.98x = 730,798.31 × 314,585.67
  4. Step 4: Simplify right side
    529,486.98x = 229,898,674,413.29
  5. Step 5: Solve for x
    x = 229,898,674,413.29/529,486.98
  6. Step 6: Final answer
    x = 434,191.36

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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.