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Finding the Fourth Proportional to 1,048,032, 1,572,048 and 260,064

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Solution

The fourth proportional to 1,048,032, 1,572,048 and 260,064 is: 390,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,032 : 1,572,048 = 260,064 : x
  2. Step 2: Convert to fraction form
    1,048,032/1,572,048 = 260,064/x
  3. Step 3: Cross multiply
    1,048,032x = 1,572,048 × 260,064
  4. Step 4: Simplify right side
    1,048,032x = 408,833,091,072
  5. Step 5: Solve for x
    x = 408,833,091,072/1,048,032
  6. Step 6: Final answer
    x = 390,096

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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.