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Finding the Fourth Proportional to 462,802.86, 638,479.53 and 301,599.18

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Solution

The fourth proportional to 462,802.86, 638,479.53 and 301,599.18 is: 416,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,802.86 : 638,479.53 = 301,599.18 : x
  2. Step 2: Convert to fraction form
    462,802.86/638,479.53 = 301,599.18/x
  3. Step 3: Cross multiply
    462,802.86x = 638,479.53 × 301,599.18
  4. Step 4: Simplify right side
    462,802.86x = 192,564,902,694.79
  5. Step 5: Solve for x
    x = 192,564,902,694.79/462,802.86
  6. Step 6: Final answer
    x = 416,084.08

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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.