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Finding the Fourth Proportional to 495,396.84, 683,661.06 and 291,461.16

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Solution

The fourth proportional to 495,396.84, 683,661.06 and 291,461.16 is: 402,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,396.84 : 683,661.06 = 291,461.16 : x
  2. Step 2: Convert to fraction form
    495,396.84/683,661.06 = 291,461.16/x
  3. Step 3: Cross multiply
    495,396.84x = 683,661.06 × 291,461.16
  4. Step 4: Simplify right side
    495,396.84x = 199,260,645,594.43
  5. Step 5: Solve for x
    x = 199,260,645,594.43/495,396.84
  6. Step 6: Final answer
    x = 402,224.30

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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.