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Finding the Fourth Proportional to 680,762.16, 1,021,254.05 and 201,038.47

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Solution

The fourth proportional to 680,762.16, 1,021,254.05 and 201,038.47 is: 301,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,762.16 : 1,021,254.05 = 201,038.47 : x
  2. Step 2: Convert to fraction form
    680,762.16/1,021,254.05 = 201,038.47/x
  3. Step 3: Cross multiply
    680,762.16x = 1,021,254.05 × 201,038.47
  4. Step 4: Simplify right side
    680,762.16x = 205,311,349,642.77
  5. Step 5: Solve for x
    x = 205,311,349,642.77/680,762.16
  6. Step 6: Final answer
    x = 301,590.43

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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.