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Finding the Fourth Proportional to 430,387.84, 593,941.76 and 260,638.08

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Solution

The fourth proportional to 430,387.84, 593,941.76 and 260,638.08 is: 359,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,387.84 : 593,941.76 = 260,638.08 : x
  2. Step 2: Convert to fraction form
    430,387.84/593,941.76 = 260,638.08/x
  3. Step 3: Cross multiply
    430,387.84x = 593,941.76 × 260,638.08
  4. Step 4: Simplify right side
    430,387.84x = 154,803,839,958.22
  5. Step 5: Solve for x
    x = 154,803,839,958.22/430,387.84
  6. Step 6: Final answer
    x = 359,684.51

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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.