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Finding the Fourth Proportional to 288,971.60, 433,457.40 and 242,315.60

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Solution

The fourth proportional to 288,971.60, 433,457.40 and 242,315.60 is: 363,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,971.60 : 433,457.40 = 242,315.60 : x
  2. Step 2: Convert to fraction form
    288,971.60/433,457.40 = 242,315.60/x
  3. Step 3: Cross multiply
    288,971.60x = 433,457.40 × 242,315.60
  4. Step 4: Simplify right side
    288,971.60x = 105,033,489,955.44
  5. Step 5: Solve for x
    x = 105,033,489,955.44/288,971.60
  6. Step 6: Final answer
    x = 363,473.40

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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.