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Finding the Fourth Proportional to 458,762.75, 633,322.70 and 286,776.38

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Solution

The fourth proportional to 458,762.75, 633,322.70 and 286,776.38 is: 395,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,762.75 : 633,322.70 = 286,776.38 : x
  2. Step 2: Convert to fraction form
    458,762.75/633,322.70 = 286,776.38/x
  3. Step 3: Cross multiply
    458,762.75x = 633,322.70 × 286,776.38
  4. Step 4: Simplify right side
    458,762.75x = 181,621,991,277.83
  5. Step 5: Solve for x
    x = 181,621,991,277.83/458,762.75
  6. Step 6: Final answer
    x = 395,895.24

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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.