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Finding the Fourth Proportional to 924,130, 1,275,303.24 and 500,194

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Solution

The fourth proportional to 924,130, 1,275,303.24 and 500,194 is: 690,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,130 : 1,275,303.24 = 500,194 : x
  2. Step 2: Convert to fraction form
    924,130/1,275,303.24 = 500,194/x
  3. Step 3: Cross multiply
    924,130x = 1,275,303.24 × 500,194
  4. Step 4: Simplify right side
    924,130x = 637,899,028,828.56
  5. Step 5: Solve for x
    x = 637,899,028,828.56/924,130
  6. Step 6: Final answer
    x = 690,269.80

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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.