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Finding the Fourth Proportional to 577,237.40, 865,856.10 and 470,949.20

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Solution

The fourth proportional to 577,237.40, 865,856.10 and 470,949.20 is: 706,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,237.40 : 865,856.10 = 470,949.20 : x
  2. Step 2: Convert to fraction form
    577,237.40/865,856.10 = 470,949.20/x
  3. Step 3: Cross multiply
    577,237.40x = 865,856.10 × 470,949.20
  4. Step 4: Simplify right side
    577,237.40x = 407,774,237,610.12
  5. Step 5: Solve for x
    x = 407,774,237,610.12/577,237.40
  6. Step 6: Final answer
    x = 706,423.80

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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.