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Finding the Fourth Proportional to 364,543.20, 546,814.80 and 312,055.20

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Solution

The fourth proportional to 364,543.20, 546,814.80 and 312,055.20 is: 468,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,543.20 : 546,814.80 = 312,055.20 : x
  2. Step 2: Convert to fraction form
    364,543.20/546,814.80 = 312,055.20/x
  3. Step 3: Cross multiply
    364,543.20x = 546,814.80 × 312,055.20
  4. Step 4: Simplify right side
    364,543.20x = 170,636,401,776.96
  5. Step 5: Solve for x
    x = 170,636,401,776.96/364,543.20
  6. Step 6: Final answer
    x = 468,082.80

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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.