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Finding the Fourth Proportional to 462,214.84, 692,813.40 and 302,224.80

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Solution

The fourth proportional to 462,214.84, 692,813.40 and 302,224.80 is: 453,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,214.84 : 692,813.40 = 302,224.80 : x
  2. Step 2: Convert to fraction form
    462,214.84/692,813.40 = 302,224.80/x
  3. Step 3: Cross multiply
    462,214.84x = 692,813.40 × 302,224.80
  4. Step 4: Simplify right side
    462,214.84x = 209,385,391,252.32
  5. Step 5: Solve for x
    x = 209,385,391,252.32/462,214.84
  6. Step 6: Final answer
    x = 453,004.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.