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Finding the Fourth Proportional to 583,457.60, 873,436.80 and 346,678.40

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Solution

The fourth proportional to 583,457.60, 873,436.80 and 346,678.40 is: 518,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,457.60 : 873,436.80 = 346,678.40 : x
  2. Step 2: Convert to fraction form
    583,457.60/873,436.80 = 346,678.40/x
  3. Step 3: Cross multiply
    583,457.60x = 873,436.80 × 346,678.40
  4. Step 4: Simplify right side
    583,457.60x = 302,801,672,325.12
  5. Step 5: Solve for x
    x = 302,801,672,325.12/583,457.60
  6. Step 6: Final answer
    x = 518,978.02

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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.