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Finding the Fourth Proportional to 460,059.40, 634,866.42 and 258,816.52

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Solution

The fourth proportional to 460,059.40, 634,866.42 and 258,816.52 is: 357,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,059.40 : 634,866.42 = 258,816.52 : x
  2. Step 2: Convert to fraction form
    460,059.40/634,866.42 = 258,816.52/x
  3. Step 3: Cross multiply
    460,059.40x = 634,866.42 × 258,816.52
  4. Step 4: Simplify right side
    460,059.40x = 164,313,917,489.26
  5. Step 5: Solve for x
    x = 164,313,917,489.26/460,059.40
  6. Step 6: Final answer
    x = 357,158.05

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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.