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Finding the Fourth Proportional to 452,509.59, 624,482.86 and 258,978.05

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Solution

The fourth proportional to 452,509.59, 624,482.86 and 258,978.05 is: 357,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,509.59 : 624,482.86 = 258,978.05 : x
  2. Step 2: Convert to fraction form
    452,509.59/624,482.86 = 258,978.05/x
  3. Step 3: Cross multiply
    452,509.59x = 624,482.86 × 258,978.05
  4. Step 4: Simplify right side
    452,509.59x = 161,727,353,341.22
  5. Step 5: Solve for x
    x = 161,727,353,341.22/452,509.59
  6. Step 6: Final answer
    x = 357,400.94

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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.