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Finding the Fourth Proportional to 507,967.80, 710,221.80 and 507,967.80

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Solution

The fourth proportional to 507,967.80, 710,221.80 and 507,967.80 is: 710,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,967.80 : 710,221.80 = 507,967.80 : x
  2. Step 2: Convert to fraction form
    507,967.80/710,221.80 = 507,967.80/x
  3. Step 3: Cross multiply
    507,967.80x = 710,221.80 × 507,967.80
  4. Step 4: Simplify right side
    507,967.80x = 360,769,805,258.04
  5. Step 5: Solve for x
    x = 360,769,805,258.04/507,967.80
  6. Step 6: Final answer
    x = 710,221.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.