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Finding the Fourth Proportional to 575,941.81, 794,957.78 and 334,302.23

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Solution

The fourth proportional to 575,941.81, 794,957.78 and 334,302.23 is: 461,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,941.81 : 794,957.78 = 334,302.23 : x
  2. Step 2: Convert to fraction form
    575,941.81/794,957.78 = 334,302.23/x
  3. Step 3: Cross multiply
    575,941.81x = 794,957.78 × 334,302.23
  4. Step 4: Simplify right side
    575,941.81x = 265,756,161,433.00
  5. Step 5: Solve for x
    x = 265,756,161,433.00/575,941.81
  6. Step 6: Final answer
    x = 461,428.84

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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.