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Finding the Fourth Proportional to 306,339.40, 459,509.10 and 148,875.40

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Solution

The fourth proportional to 306,339.40, 459,509.10 and 148,875.40 is: 223,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,339.40 : 459,509.10 = 148,875.40 : x
  2. Step 2: Convert to fraction form
    306,339.40/459,509.10 = 148,875.40/x
  3. Step 3: Cross multiply
    306,339.40x = 459,509.10 × 148,875.40
  4. Step 4: Simplify right side
    306,339.40x = 68,409,601,066.14
  5. Step 5: Solve for x
    x = 68,409,601,066.14/306,339.40
  6. Step 6: Final answer
    x = 223,313.10

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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.