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Finding the Fourth Proportional to 333,559.80, 460,312.83 and 180,598.11

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Solution

The fourth proportional to 333,559.80, 460,312.83 and 180,598.11 is: 249,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,559.80 : 460,312.83 = 180,598.11 : x
  2. Step 2: Convert to fraction form
    333,559.80/460,312.83 = 180,598.11/x
  3. Step 3: Cross multiply
    333,559.80x = 460,312.83 × 180,598.11
  4. Step 4: Simplify right side
    333,559.80x = 83,131,627,106.75
  5. Step 5: Solve for x
    x = 83,131,627,106.75/333,559.80
  6. Step 6: Final answer
    x = 249,225.56

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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.