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Finding the Fourth Proportional to 462,957.84, 638,740.10 and 301,754.07

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Solution

The fourth proportional to 462,957.84, 638,740.10 and 301,754.07 is: 416,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,957.84 : 638,740.10 = 301,754.07 : x
  2. Step 2: Convert to fraction form
    462,957.84/638,740.10 = 301,754.07/x
  3. Step 3: Cross multiply
    462,957.84x = 638,740.10 × 301,754.07
  4. Step 4: Simplify right side
    462,957.84x = 192,742,423,338.44
  5. Step 5: Solve for x
    x = 192,742,423,338.44/462,957.84
  6. Step 6: Final answer
    x = 416,328.24

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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.