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Finding the Fourth Proportional to 416,035.47, 573,946.59 and 243,866.15

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Solution

The fourth proportional to 416,035.47, 573,946.59 and 243,866.15 is: 336,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,035.47 : 573,946.59 = 243,866.15 : x
  2. Step 2: Convert to fraction form
    416,035.47/573,946.59 = 243,866.15/x
  3. Step 3: Cross multiply
    416,035.47x = 573,946.59 × 243,866.15
  4. Step 4: Simplify right side
    416,035.47x = 139,966,145,208.93
  5. Step 5: Solve for x
    x = 139,966,145,208.93/416,035.47
  6. Step 6: Final answer
    x = 336,428.39

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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.