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Finding the Fourth Proportional to 698,688, 1,048,032 and 173,376

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Solution

The fourth proportional to 698,688, 1,048,032 and 173,376 is: 260,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,688 : 1,048,032 = 173,376 : x
  2. Step 2: Convert to fraction form
    698,688/1,048,032 = 173,376/x
  3. Step 3: Cross multiply
    698,688x = 1,048,032 × 173,376
  4. Step 4: Simplify right side
    698,688x = 181,703,596,032
  5. Step 5: Solve for x
    x = 181,703,596,032/698,688
  6. Step 6: Final answer
    x = 260,064

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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.