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Finding the Fourth Proportional to 570,833, 787,749.54 and 316,200.68

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Solution

The fourth proportional to 570,833, 787,749.54 and 316,200.68 is: 436,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,833 : 787,749.54 = 316,200.68 : x
  2. Step 2: Convert to fraction form
    570,833/787,749.54 = 316,200.68/x
  3. Step 3: Cross multiply
    570,833x = 787,749.54 × 316,200.68
  4. Step 4: Simplify right side
    570,833x = 249,086,940,217.69
  5. Step 5: Solve for x
    x = 249,086,940,217.69/570,833
  6. Step 6: Final answer
    x = 436,356.94

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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.