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Finding the Fourth Proportional to 564,335.14, 778,792 and 309,710.02

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Solution

The fourth proportional to 564,335.14, 778,792 and 309,710.02 is: 427,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,335.14 : 778,792 = 309,710.02 : x
  2. Step 2: Convert to fraction form
    564,335.14/778,792 = 309,710.02/x
  3. Step 3: Cross multiply
    564,335.14x = 778,792 × 309,710.02
  4. Step 4: Simplify right side
    564,335.14x = 241,199,685,895.84
  5. Step 5: Solve for x
    x = 241,199,685,895.84/564,335.14
  6. Step 6: Final answer
    x = 427,405.04

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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.