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Finding the Fourth Proportional to 539,965, 745,151.70 and 301,501

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Solution

The fourth proportional to 539,965, 745,151.70 and 301,501 is: 416,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,965 : 745,151.70 = 301,501 : x
  2. Step 2: Convert to fraction form
    539,965/745,151.70 = 301,501/x
  3. Step 3: Cross multiply
    539,965x = 745,151.70 × 301,501
  4. Step 4: Simplify right side
    539,965x = 224,663,982,701.70
  5. Step 5: Solve for x
    x = 224,663,982,701.70/539,965
  6. Step 6: Final answer
    x = 416,071.38

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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.