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Finding the Fourth Proportional to 761,802.67, 1,051,280.94 and 417,632.32

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Solution

The fourth proportional to 761,802.67, 1,051,280.94 and 417,632.32 is: 576,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,802.67 : 1,051,280.94 = 417,632.32 : x
  2. Step 2: Convert to fraction form
    761,802.67/1,051,280.94 = 417,632.32/x
  3. Step 3: Cross multiply
    761,802.67x = 1,051,280.94 × 417,632.32
  4. Step 4: Simplify right side
    761,802.67x = 439,048,897,943.98
  5. Step 5: Solve for x
    x = 439,048,897,943.98/761,802.67
  6. Step 6: Final answer
    x = 576,328.90

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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.