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Finding the Fourth Proportional to 405,057.60, 607,586.40 and 286,862.40

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Solution

The fourth proportional to 405,057.60, 607,586.40 and 286,862.40 is: 430,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,057.60 : 607,586.40 = 286,862.40 : x
  2. Step 2: Convert to fraction form
    405,057.60/607,586.40 = 286,862.40/x
  3. Step 3: Cross multiply
    405,057.60x = 607,586.40 × 286,862.40
  4. Step 4: Simplify right side
    405,057.60x = 174,293,692,911.36
  5. Step 5: Solve for x
    x = 174,293,692,911.36/405,057.60
  6. Step 6: Final answer
    x = 430,293.60

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1.5x scale

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.