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Finding the Fourth Proportional to 600,823.94, 829,080.33 and 359,058.38

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Solution

The fourth proportional to 600,823.94, 829,080.33 and 359,058.38 is: 495,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,823.94 : 829,080.33 = 359,058.38 : x
  2. Step 2: Convert to fraction form
    600,823.94/829,080.33 = 359,058.38/x
  3. Step 3: Cross multiply
    600,823.94x = 829,080.33 × 359,058.38
  4. Step 4: Simplify right side
    600,823.94x = 297,688,240,179.67
  5. Step 5: Solve for x
    x = 297,688,240,179.67/600,823.94
  6. Step 6: Final answer
    x = 495,466.68

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1.5x scale

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.