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Finding the Fourth Proportional to 370,008.32, 510,668.16 and 208,928

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Solution

The fourth proportional to 370,008.32, 510,668.16 and 208,928 is: 288,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,008.32 : 510,668.16 = 208,928 : x
  2. Step 2: Convert to fraction form
    370,008.32/510,668.16 = 208,928/x
  3. Step 3: Cross multiply
    370,008.32x = 510,668.16 × 208,928
  4. Step 4: Simplify right side
    370,008.32x = 106,692,877,332.48
  5. Step 5: Solve for x
    x = 106,692,877,332.48/370,008.32
  6. Step 6: Final answer
    x = 288,352.64

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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.