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Finding the Fourth Proportional to 514,779.37, 710,155.24 and 323,898.01

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Solution

The fourth proportional to 514,779.37, 710,155.24 and 323,898.01 is: 446,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,779.37 : 710,155.24 = 323,898.01 : x
  2. Step 2: Convert to fraction form
    514,779.37/710,155.24 = 323,898.01/x
  3. Step 3: Cross multiply
    514,779.37x = 710,155.24 × 323,898.01
  4. Step 4: Simplify right side
    514,779.37x = 230,017,866,441.94
  5. Step 5: Solve for x
    x = 230,017,866,441.94/514,779.37
  6. Step 6: Final answer
    x = 446,828.06

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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.