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Finding the Fourth Proportional to 507,557.60, 760,414.80 and 413,554.40

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Solution

The fourth proportional to 507,557.60, 760,414.80 and 413,554.40 is: 619,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,557.60 : 760,414.80 = 413,554.40 : x
  2. Step 2: Convert to fraction form
    507,557.60/760,414.80 = 413,554.40/x
  3. Step 3: Cross multiply
    507,557.60x = 760,414.80 × 413,554.40
  4. Step 4: Simplify right side
    507,557.60x = 314,472,886,365.12
  5. Step 5: Solve for x
    x = 314,472,886,365.12/507,557.60
  6. Step 6: Final answer
    x = 619,580.69

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1.5x scale

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.