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Finding the Fourth Proportional to 507,555.60, 760,411.80 and 413,552.40

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Solution

The fourth proportional to 507,555.60, 760,411.80 and 413,552.40 is: 619,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,555.60 : 760,411.80 = 413,552.40 : x
  2. Step 2: Convert to fraction form
    507,555.60/760,411.80 = 413,552.40/x
  3. Step 3: Cross multiply
    507,555.60x = 760,411.80 × 413,552.40
  4. Step 4: Simplify right side
    507,555.60x = 314,470,124,878.32
  5. Step 5: Solve for x
    x = 314,470,124,878.32/507,555.60
  6. Step 6: Final answer
    x = 619,577.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.