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Finding the Fourth Proportional to 785,264.48, 1,178,246.64 and 411,200

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Solution

The fourth proportional to 785,264.48, 1,178,246.64 and 411,200 is: 616,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,264.48 : 1,178,246.64 = 411,200 : x
  2. Step 2: Convert to fraction form
    785,264.48/1,178,246.64 = 411,200/x
  3. Step 3: Cross multiply
    785,264.48x = 1,178,246.64 × 411,200
  4. Step 4: Simplify right side
    785,264.48x = 484,495,018,368.00
  5. Step 5: Solve for x
    x = 484,495,018,368.00/785,264.48
  6. Step 6: Final answer
    x = 616,983.23

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Why These Related Problems?

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