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Finding the Fourth Proportional to 472,588.98, 651,804.18 and 302,838.90

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Solution

The fourth proportional to 472,588.98, 651,804.18 and 302,838.90 is: 417,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,588.98 : 651,804.18 = 302,838.90 : x
  2. Step 2: Convert to fraction form
    472,588.98/651,804.18 = 302,838.90/x
  3. Step 3: Cross multiply
    472,588.98x = 651,804.18 × 302,838.90
  4. Step 4: Simplify right side
    472,588.98x = 197,391,660,886.60
  5. Step 5: Solve for x
    x = 197,391,660,886.60/472,588.98
  6. Step 6: Final answer
    x = 417,681.47

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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.