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Finding the Fourth Proportional to 535,902.24, 803,102.63 and 402,697.47

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Solution

The fourth proportional to 535,902.24, 803,102.63 and 402,697.47 is: 603,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,902.24 : 803,102.63 = 402,697.47 : x
  2. Step 2: Convert to fraction form
    535,902.24/803,102.63 = 402,697.47/x
  3. Step 3: Cross multiply
    535,902.24x = 803,102.63 × 402,697.47
  4. Step 4: Simplify right side
    535,902.24x = 323,407,395,237.86
  5. Step 5: Solve for x
    x = 323,407,395,237.86/535,902.24
  6. Step 6: Final answer
    x = 603,482.07

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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.