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Finding the Fourth Proportional to 405,811.40, 607,404.90 and 287,713.40

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Solution

The fourth proportional to 405,811.40, 607,404.90 and 287,713.40 is: 430,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,811.40 : 607,404.90 = 287,713.40 : x
  2. Step 2: Convert to fraction form
    405,811.40/607,404.90 = 287,713.40/x
  3. Step 3: Cross multiply
    405,811.40x = 607,404.90 × 287,713.40
  4. Step 4: Simplify right side
    405,811.40x = 174,758,528,955.66
  5. Step 5: Solve for x
    x = 174,758,528,955.66/405,811.40
  6. Step 6: Final answer
    x = 430,639.77

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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.