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Finding the Fourth Proportional to 711,026.02, 980,631.32 and 507,011.73

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Solution

The fourth proportional to 711,026.02, 980,631.32 and 507,011.73 is: 699,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,026.02 : 980,631.32 = 507,011.73 : x
  2. Step 2: Convert to fraction form
    711,026.02/980,631.32 = 507,011.73/x
  3. Step 3: Cross multiply
    711,026.02x = 980,631.32 × 507,011.73
  4. Step 4: Simplify right side
    711,026.02x = 497,191,582,045.38
  5. Step 5: Solve for x
    x = 497,191,582,045.38/711,026.02
  6. Step 6: Final answer
    x = 699,259.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.