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Finding the Fourth Proportional to 602,083.53, 830,860.74 and 340,416.27

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Solution

The fourth proportional to 602,083.53, 830,860.74 and 340,416.27 is: 469,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,083.53 : 830,860.74 = 340,416.27 : x
  2. Step 2: Convert to fraction form
    602,083.53/830,860.74 = 340,416.27/x
  3. Step 3: Cross multiply
    602,083.53x = 830,860.74 × 340,416.27
  4. Step 4: Simplify right side
    602,083.53x = 282,838,514,000.24
  5. Step 5: Solve for x
    x = 282,838,514,000.24/602,083.53
  6. Step 6: Final answer
    x = 469,766.24

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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.