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Finding the Fourth Proportional to 499,796, 689,718.42 and 282,050.76

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Solution

The fourth proportional to 499,796, 689,718.42 and 282,050.76 is: 389,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,796 : 689,718.42 = 282,050.76 : x
  2. Step 2: Convert to fraction form
    499,796/689,718.42 = 282,050.76/x
  3. Step 3: Cross multiply
    499,796x = 689,718.42 × 282,050.76
  4. Step 4: Simplify right side
    499,796x = 194,535,604,547.00
  5. Step 5: Solve for x
    x = 194,535,604,547.00/499,796
  6. Step 6: Final answer
    x = 389,230.01

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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.