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Finding the Fourth Proportional to 562,403.20, 843,678.80 and 207,666.40

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Solution

The fourth proportional to 562,403.20, 843,678.80 and 207,666.40 is: 311,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,403.20 : 843,678.80 = 207,666.40 : x
  2. Step 2: Convert to fraction form
    562,403.20/843,678.80 = 207,666.40/x
  3. Step 3: Cross multiply
    562,403.20x = 843,678.80 × 207,666.40
  4. Step 4: Simplify right side
    562,403.20x = 175,203,739,152.32
  5. Step 5: Solve for x
    x = 175,203,739,152.32/562,403.20
  6. Step 6: Final answer
    x = 311,526.92

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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.