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Finding the Fourth Proportional to 549,840.10, 824,501.30 and 213,038.50

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Solution

The fourth proportional to 549,840.10, 824,501.30 and 213,038.50 is: 319,457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,840.10 : 824,501.30 = 213,038.50 : x
  2. Step 2: Convert to fraction form
    549,840.10/824,501.30 = 213,038.50/x
  3. Step 3: Cross multiply
    549,840.10x = 824,501.30 × 213,038.50
  4. Step 4: Simplify right side
    549,840.10x = 175,650,520,200.05
  5. Step 5: Solve for x
    x = 175,650,520,200.05/549,840.10
  6. Step 6: Final answer
    x = 319,457.46

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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.