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Finding the Fourth Proportional to 393,477.40, 590,810.10 and 314,356.60

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Solution

The fourth proportional to 393,477.40, 590,810.10 and 314,356.60 is: 472,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,477.40 : 590,810.10 = 314,356.60 : x
  2. Step 2: Convert to fraction form
    393,477.40/590,810.10 = 314,356.60/x
  3. Step 3: Cross multiply
    393,477.40x = 590,810.10 × 314,356.60
  4. Step 4: Simplify right side
    393,477.40x = 185,725,054,281.66
  5. Step 5: Solve for x
    x = 185,725,054,281.66/393,477.40
  6. Step 6: Final answer
    x = 472,009.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.