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Finding the Fourth Proportional to 370,980, 511,952.43 and 209,831.58

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Solution

The fourth proportional to 370,980, 511,952.43 and 209,831.58 is: 289,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,980 : 511,952.43 = 209,831.58 : x
  2. Step 2: Convert to fraction form
    370,980/511,952.43 = 209,831.58/x
  3. Step 3: Cross multiply
    370,980x = 511,952.43 × 209,831.58
  4. Step 4: Simplify right side
    370,980x = 107,423,788,058.61
  5. Step 5: Solve for x
    x = 107,423,788,058.61/370,980
  6. Step 6: Final answer
    x = 289,567.60

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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.