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Finding the Fourth Proportional to 458,496.41, 631,417.16 and 330,970.01

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Solution

The fourth proportional to 458,496.41, 631,417.16 and 330,970.01 is: 455,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,496.41 : 631,417.16 = 330,970.01 : x
  2. Step 2: Convert to fraction form
    458,496.41/631,417.16 = 330,970.01/x
  3. Step 3: Cross multiply
    458,496.41x = 631,417.16 × 330,970.01
  4. Step 4: Simplify right side
    458,496.41x = 208,980,142,104.52
  5. Step 5: Solve for x
    x = 208,980,142,104.52/458,496.41
  6. Step 6: Final answer
    x = 455,794.50

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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.