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Finding the Fourth Proportional to 462,273.47, 637,925.10 and 258,326.06

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Solution

The fourth proportional to 462,273.47, 637,925.10 and 258,326.06 is: 356,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,273.47 : 637,925.10 = 258,326.06 : x
  2. Step 2: Convert to fraction form
    462,273.47/637,925.10 = 258,326.06/x
  3. Step 3: Cross multiply
    462,273.47x = 637,925.10 × 258,326.06
  4. Step 4: Simplify right side
    462,273.47x = 164,792,677,658.11
  5. Step 5: Solve for x
    x = 164,792,677,658.11/462,273.47
  6. Step 6: Final answer
    x = 356,483.10

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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.