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Finding the Fourth Proportional to 633,442.48, 874,151 and 346,967.36

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Solution

The fourth proportional to 633,442.48, 874,151 and 346,967.36 is: 478,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,442.48 : 874,151 = 346,967.36 : x
  2. Step 2: Convert to fraction form
    633,442.48/874,151 = 346,967.36/x
  3. Step 3: Cross multiply
    633,442.48x = 874,151 × 346,967.36
  4. Step 4: Simplify right side
    633,442.48x = 303,301,864,711.36
  5. Step 5: Solve for x
    x = 303,301,864,711.36/633,442.48
  6. Step 6: Final answer
    x = 478,815.16

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1.5x scale

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.