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Finding the Fourth Proportional to 431,140.72, 594,973.74 and 249,957.76

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Solution

The fourth proportional to 431,140.72, 594,973.74 and 249,957.76 is: 344,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,140.72 : 594,973.74 = 249,957.76 : x
  2. Step 2: Convert to fraction form
    431,140.72/594,973.74 = 249,957.76/x
  3. Step 3: Cross multiply
    431,140.72x = 594,973.74 × 249,957.76
  4. Step 4: Simplify right side
    431,140.72x = 148,718,303,309.22
  5. Step 5: Solve for x
    x = 148,718,303,309.22/431,140.72
  6. Step 6: Final answer
    x = 344,941.45

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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.